157875590611200 has 1944 divisors, whose sum is σ = 667338777272160. Its totient is φ = 32749043712000.

The previous prime is 157875590611183. The next prime is 157875590611241. The reversal of 157875590611200 is 2116095578751.

It is a super-2 number, since 2×157875590611200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 115999698520 + ... + 115999699880.

Almost surely, 2^{157875590611200} is an apocalyptic number.

157875590611200 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 157875590611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333669388636080).

157875590611200 is an abundant number, since it is smaller than the sum of its proper divisors (509463186660960).

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

157875590611200 is a wasteful number, since it uses less digits than its factorization.

157875590611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 57.

The spelling of 157875590611200 in words is "one hundred fifty-seven trillion, eight hundred seventy-five billion, five hundred ninety million, six hundred eleven thousand, two hundred".