53825990400 has 1620 divisors, whose sum is σ = 250850345592. Its totient is φ = 11287019520.

The previous prime is 53825990377. The next prime is 53825990453. The reversal of 53825990400 is 409952835.

53825990400 is a `hidden beast` number, since 53 + 8 + 2 + 599 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 330220719 + ... + 330220881.

Almost surely, 2^53825990400 is an apocalyptic number.

53825990400 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 53825990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125425172796).

53825990400 is an abundant number, since it is smaller than the sum of its proper divisors (197024355192).

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

53825990400 is a wasteful number, since it uses less digits than its factorization.

53825990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 53825990400 in words is "fifty-three billion, eight hundred twenty-five million, nine hundred ninety thousand, four hundred".