157528124006400 has 3528 divisors, whose sum is σ = 694456575225804. Its totient is φ = 35315829964800.

The previous prime is 157528124006371. The next prime is 157528124006413. The reversal of 157528124006400 is 4600421825751.

157528124006400 is a `hidden beast` number, since 1 + 5 + 75 + 281 + 240 + 0 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13256123682816 + 144272000323584 = 3640896^2 + 12011328^2 .

It is a tau number, because it is divible by the number of its divisors (3528).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 446255308624 + ... + 446255308976.

Almost surely, 2^{157528124006400} is an apocalyptic number.

157528124006400 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 157528124006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347228287612902).

157528124006400 is an abundant number, since it is smaller than the sum of its proper divisors (536928451219404).

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

157528124006400 is an frugal number, since it uses more digits than its factorization.

157528124006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 157528124006400 in words is "one hundred fifty-seven trillion, five hundred twenty-eight billion, one hundred twenty-four million, six thousand, four hundred".