151609430263680 has 320 divisors, whose sum is σ = 541446756325200. Its totient is φ = 40427530665984.

The previous prime is 151609430263679. The next prime is 151609430263717. The reversal of 151609430263680 is 86362034906151.

151609430263680 is a `hidden beast` number, since 1 + 5 + 1 + 609 + 4 + 3 + 0 + 26 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1783409016 + ... + 1783494024.

Almost surely, 2^{151609430263680} is an apocalyptic number.

151609430263680 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 151609430263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270723378162600).

151609430263680 is an abundant number, since it is smaller than the sum of its proper divisors (389837326061520).

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

151609430263680 is an equidigital number, since it uses as much as digits as its factorization.

151609430263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119443 (or 119422 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 151609430263680 in words is "one hundred fifty-one trillion, six hundred nine billion, four hundred thirty million, two hundred sixty-three thousand, six hundred eighty".