151957564038800 has 240 divisors, whose sum is σ = 401894841583872. Its totient is φ = 54863204044800.

The previous prime is 151957564038743. The next prime is 151957564038823. The reversal of 151957564038800 is 8830465759151.

It is a super-2 number, since 2×151957564038800² (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 47 ways as a sum of consecutive naturals, for example, 266355452 + ... + 266925348.

Almost surely, 2^{151957564038800} is an apocalyptic number.

151957564038800 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 151957564038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200947420791936).

151957564038800 is an abundant number, since it is smaller than the sum of its proper divisors (249937277545072).

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

151957564038800 is a wasteful number, since it uses less digits than its factorization.

151957564038800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571066 (or 571055 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 62.

The spelling of 151957564038800 in words is "one hundred fifty-one trillion, nine hundred fifty-seven billion, five hundred sixty-four million, thirty-eight thousand, eight hundred".