157001955264 has 1120 divisors, whose sum is σ = 619597440000. Its totient is φ = 38894929920.

The previous prime is 157001955239. The next prime is 157001955289. The reversal of 157001955264 is 462559100751.

It is a happy number.

157001955264 is a `hidden beast` number, since 1 + 570 + 0 + 1 + 9 + 55 + 26 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (157001955239) and next prime (157001955289).

It is a super-2 number, since 2×157001955264² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 449862162 + ... + 449862510.

It is an arithmetic number, because the mean of its divisors is an integer number (553212000).

Almost surely, 2^157001955264 is an apocalyptic number.

157001955264 is a gapful number since it is divisible by the number (14) 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 157001955264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309798720000).

157001955264 is an abundant number, since it is smaller than the sum of its proper divisors (462595484736).

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

157001955264 is a wasteful number, since it uses less digits than its factorization.

157001955264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 157001955264 in words is "one hundred fifty-seven billion, one million, nine hundred fifty-five thousand, two hundred sixty-four".