157593191424 has 352 divisors, whose sum is σ = 466912512000. Its totient is φ = 47031975936.

The previous prime is 157593191423. The next prime is 157593191467. The reversal of 157593191424 is 424191395751.

It is a super-2 number, since 2×157593191424² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (157593191423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119478637 + ... + 119479955.

It is an arithmetic number, because the mean of its divisors is an integer number (1326456000).

Almost surely, 2^157593191424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157593191424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233456256000).

157593191424 is an abundant number, since it is smaller than the sum of its proper divisors (309319320576).

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

157593191424 is a wasteful number, since it uses less digits than its factorization.

157593191424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1455 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The spelling of 157593191424 in words is "one hundred fifty-seven billion, five hundred ninety-three million, one hundred ninety-one thousand, four hundred twenty-four".