15255152640 has 1152 divisors, whose sum is σ = 69544500480. Its totient is φ = 3001024512.

The previous prime is 15255152599. The next prime is 15255152683. The reversal of 15255152640 is 4625155251.

15255152640 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 5 + 1 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15255152595 and 15255152604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142571467 + ... + 142571573.

It is an arithmetic number, because the mean of its divisors is an integer number (60368490).

Almost surely, 2^15255152640 is an apocalyptic number.

15255152640 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 15255152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34772250240).

15255152640 is an abundant number, since it is smaller than the sum of its proper divisors (54289347840).

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

15255152640 is a wasteful number, since it uses less digits than its factorization.

15255152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 15255152640 in words is "fifteen billion, two hundred fifty-five million, one hundred fifty-two thousand, six hundred forty".