54052790400 has 960 divisors, whose sum is σ = 235560399360. Its totient is φ = 11956377600.

The previous prime is 54052790377. The next prime is 54052790497. The reversal of 54052790400 is 409725045.

54052790400 is a `hidden beast` number, since 5 + 4 + 0 + 527 + 90 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1743638385 + ... + 1743638415.

It is an arithmetic number, because the mean of its divisors is an integer number (245375416).

Almost surely, 2^54052790400 is an apocalyptic number.

54052790400 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 54052790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117780199680).

54052790400 is an abundant number, since it is smaller than the sum of its proper divisors (181507608960).

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

54052790400 is an frugal number, since it uses more digits than its factorization.

54052790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 54052790400 in words is "fifty-four billion, fifty-two million, seven hundred ninety thousand, four hundred".