152385260960 has 288 divisors, whose sum is σ = 392788787328. Its totient is φ = 55837900800.

The previous prime is 152385260957. The next prime is 152385260981. The reversal of 152385260960 is 69062583251.

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, 312905837 + ... + 312906323.

It is an arithmetic number, because the mean of its divisors is an integer number (1363849956).

Almost surely, 2^152385260960 is an apocalyptic number.

152385260960 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 152385260960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196394393664).

152385260960 is an abundant number, since it is smaller than the sum of its proper divisors (240403526368).

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

152385260960 is a wasteful number, since it uses less digits than its factorization.

152385260960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 47.

The spelling of 152385260960 in words is "one hundred fifty-two billion, three hundred eighty-five million, two hundred sixty thousand, nine hundred sixty".