10557372560 has 80 divisors (see below), whose sum is σ = 28097165952. Its totient is φ = 3613900800.

The previous prime is 10557372547. The next prime is 10557372583. The reversal of 10557372560 is 6527375501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10557372560² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344255 + ... + 373665.

Almost surely, 2^10557372560 is an apocalyptic number.

10557372560 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 10557372560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14048582976).

10557372560 is an abundant number, since it is smaller than the sum of its proper divisors (17539793392).

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

10557372560 is a wasteful number, since it uses less digits than its factorization.

10557372560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30072 (or 30066 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 41.

The spelling of 10557372560 in words is "ten billion, five hundred fifty-seven million, three hundred seventy-two thousand, five hundred sixty".