152788008960 has 264 divisors, whose sum is σ = 529992127080. Its totient is φ = 40718303232.

The previous prime is 152788008941. The next prime is 152788008979. The reversal of 152788008960 is 69800887251.

It is an interprime number because it is at equal distance from previous prime (152788008941) and next prime (152788008979).

It is a super-2 number, since 2×152788008960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152788008897 and 152788008906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94371031 + ... + 94372649.

Almost surely, 2^152788008960 is an apocalyptic number.

152788008960 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 152788008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264996063540).

152788008960 is an abundant number, since it is smaller than the sum of its proper divisors (377204118120).

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

152788008960 is an frugal number, since it uses more digits than its factorization.

152788008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 152788008960 in words is "one hundred fifty-two billion, seven hundred eighty-eight million, eight thousand, nine hundred sixty".