152379358560 has 2304 divisors, whose sum is σ = 713276928000. Its totient is φ = 28983951360.

The previous prime is 152379358519. The next prime is 152379358597. The reversal of 152379358560 is 65853973251.

152379358560 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 79 + 3 + 5 + 8 + 560 = 666.

It is a super-3 number, since 3×152379358560³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152379358497 and 152379358506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1928852601 + ... + 1928852679.

It is an arithmetic number, because the mean of its divisors is an integer number (309582000).

Almost surely, 2^152379358560 is an apocalyptic number.

152379358560 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 152379358560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356638464000).

152379358560 is an abundant number, since it is smaller than the sum of its proper divisors (560897569440).

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

152379358560 is a wasteful number, since it uses less digits than its factorization.

152379358560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 152379358560 in words is "one hundred fifty-two billion, three hundred seventy-nine million, three hundred fifty-eight thousand, five hundred sixty".