152053853198400 has 1008 divisors, whose sum is σ = 560664942289920. Its totient is φ = 39043587686400.

The previous prime is 152053853198353. The next prime is 152053853198449. The reversal of 152053853198400 is 4891358350251.

152053853198400 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 538 + 53 + 19 + 8 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104648212074 + ... + 104648213526.

Almost surely, 2^{152053853198400} is an apocalyptic number.

152053853198400 is a gapful number since it is divisible by the number (10) 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 152053853198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280332471144960).

152053853198400 is an abundant number, since it is smaller than the sum of its proper divisors (408611089091520).

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

152053853198400 is a wasteful number, since it uses less digits than its factorization.

152053853198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 152053853198400 in words is "one hundred fifty-two trillion, fifty-three billion, eight hundred fifty-three million, one hundred ninety-eight thousand, four hundred".