10048872960 has 1200 divisors, whose sum is σ = 44704478016. Its totient is φ = 2145927168.

The previous prime is 10048872949. The next prime is 10048873019. The reversal of 10048872960 is 6927884001.

10048872960 is a `hidden beast` number, since 10 + 0 + 488 + 72 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 233694699 + ... + 233694741.

Almost surely, 2^10048872960 is an apocalyptic number.

10048872960 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 10048872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22352239008).

10048872960 is an abundant number, since it is smaller than the sum of its proper divisors (34655605056).

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

10048872960 is an equidigital number, since it uses as much as digits as its factorization.

10048872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10048872960 in words is "ten billion, forty-eight million, eight hundred seventy-two thousand, nine hundred sixty".