15385056960 has 1344 divisors, whose sum is σ = 68540497920. Its totient is φ = 2846638080.

The previous prime is 15385056949. The next prime is 15385056977. The reversal of 15385056960 is 6965058351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 496292145 + ... + 496292175.

Almost surely, 2^15385056960 is an apocalyptic number.

15385056960 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 15385056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34270248960).

15385056960 is an abundant number, since it is smaller than the sum of its proper divisors (53155440960).

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

15385056960 is a wasteful number, since it uses less digits than its factorization.

15385056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 15385056960 in words is "fifteen billion, three hundred eighty-five million, fifty-six thousand, nine hundred sixty".