53852702400 has 252 divisors, whose sum is σ = 218749231792. Its totient is φ = 12309166080.

The previous prime is 53852702399. The next prime is 53852702411. The reversal of 53852702400 is 420725835.

53852702400 is a `hidden beast` number, since 5 + 385 + 270 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×53852702400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166327 + ... + 367926.

Almost surely, 2^53852702400 is an apocalyptic number.

53852702400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53852702400 is an abundant number, since it is smaller than the sum of its proper divisors (164896529392).

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

53852702400 is a wasteful number, since it uses less digits than its factorization.

53852702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534288 (or 534270 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 53852702400 in words is "fifty-three billion, eight hundred fifty-two million, seven hundred two thousand, four hundred".