53525554790400 has 3456 divisors, whose sum is σ = 250767419857920. Its totient is φ = 11007531417600.

The previous prime is 53525554790399. The next prime is 53525554790401. The reversal of 53525554790400 is 409745552535.

53525554790400 is a `hidden beast` number, since 5 + 3 + 5 + 2 + 5 + 5 + 547 + 90 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53525554790399) and next prime (53525554790401).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×53525554790400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53525554790401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 551809843152 + ... + 551809843248.

It is an arithmetic number, because the mean of its divisors is an integer number (72560017320).

Almost surely, 2^{53525554790400} is an apocalyptic number.

53525554790400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53525554790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125383709928960).

53525554790400 is an abundant number, since it is smaller than the sum of its proper divisors (197241865067520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53525554790400 is an frugal number, since it uses more digits than its factorization.

53525554790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 18900000, while the sum is 54.

The spelling of 53525554790400 in words is "fifty-three trillion, five hundred twenty-five billion, five hundred fifty-four million, seven hundred ninety thousand, four hundred".