157989127296 has 768 divisors, whose sum is σ = 582300472320. Its totient is φ = 37300838400.

The previous prime is 157989127279. The next prime is 157989127301. The reversal of 157989127296 is 692721989751.

It is a super-3 number, since 3×157989127296³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 95 ways as a sum of consecutive naturals, for example, 191038435 + ... + 191039261.

It is an arithmetic number, because the mean of its divisors is an integer number (758203740).

Almost surely, 2^157989127296 is an apocalyptic number.

157989127296 is a gapful number since it is divisible by the number (16) 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 157989127296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291150236160).

157989127296 is an abundant number, since it is smaller than the sum of its proper divisors (424311345024).

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

157989127296 is a wasteful number, since it uses less digits than its factorization.

157989127296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 934 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 66.

The spelling of 157989127296 in words is "one hundred fifty-seven billion, nine hundred eighty-nine million, one hundred twenty-seven thousand, two hundred ninety-six".