10048870720 has 224 divisors, whose sum is σ = 28839444480. Its totient is φ = 3262187520.

The previous prime is 10048870709. The next prime is 10048870739. The reversal of 10048870720 is 2707884001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 10048870720.

It is a congruent number.

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, 3262141 + ... + 3265219.

It is an arithmetic number, because the mean of its divisors is an integer number (128747520).

Almost surely, 2^10048870720 is an apocalyptic number.

10048870720 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 10048870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14419722240).

10048870720 is an abundant number, since it is smaller than the sum of its proper divisors (18790573760).

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

10048870720 is a wasteful number, since it uses less digits than its factorization.

10048870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The spelling of 10048870720 in words is "ten billion, forty-eight million, eight hundred seventy thousand, seven hundred twenty".