157893696000 has 240 divisors, whose sum is σ = 568705562568. Its totient is φ = 42104832000.

The previous prime is 157893695987. The next prime is 157893696031. The reversal of 157893696000 is 696398751.

157893696000 is a `hidden beast` number, since 1 + 578 + 9 + 3 + 6 + 9 + 60 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88880304384 + 69013391616 = 298128^2 + 262704^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438940 + ... + 713060.

Almost surely, 2^157893696000 is an apocalyptic number.

157893696000 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 157893696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284352781284).

157893696000 is an abundant number, since it is smaller than the sum of its proper divisors (410811866568).

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

157893696000 is an equidigital number, since it uses as much as digits as its factorization.

157893696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274160 (or 274131 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 157893696000 in words is "one hundred fifty-seven billion, eight hundred ninety-three million, six hundred ninety-six thousand".