151659516960 has 1152 divisors, whose sum is σ = 646704414720. Its totient is φ = 31597682688.

The previous prime is 151659516949. The next prime is 151659516977. The reversal of 151659516960 is 69615956151.

151659516960 is a `hidden beast` number, since 1 + 5 + 1 + 65 + 9 + 516 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 151659516897 and 151659516906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 680087409 + ... + 680087631.

It is an arithmetic number, because the mean of its divisors is an integer number (561375360).

Almost surely, 2^151659516960 is an apocalyptic number.

151659516960 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 151659516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323352207360).

151659516960 is an abundant number, since it is smaller than the sum of its proper divisors (495044897760).

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

151659516960 is a wasteful number, since it uses less digits than its factorization.

151659516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 54.

The spelling of 151659516960 in words is "one hundred fifty-one billion, six hundred fifty-nine million, five hundred sixteen thousand, nine hundred sixty".