10048518720 has 224 divisors, whose sum is σ = 35556748800. Its totient is φ = 2671460352.

The previous prime is 10048518707. The next prime is 10048518751. The reversal of 10048518720 is 2781584001.

10048518720 is a `hidden beast` number, since 100 + 485 + 1 + 8 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3169296 + ... + 3172464.

Almost surely, 2^10048518720 is an apocalyptic number.

10048518720 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 10048518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17778374400).

10048518720 is an abundant number, since it is smaller than the sum of its proper divisors (25508230080).

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

10048518720 is a wasteful number, since it uses less digits than its factorization.

10048518720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10048518720 in words is "ten billion, forty-eight million, five hundred eighteen thousand, seven hundred twenty".