10870484800 has 336 divisors, whose sum is σ = 31929384960. Its totient is φ = 3564288000.

The previous prime is 10870484789. The next prime is 10870484837. The reversal of 10870484800 is 848407801.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45483081 + ... + 45483319.

Almost surely, 2^10870484800 is an apocalyptic number.

10870484800 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 10870484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15964692480).

10870484800 is an abundant number, since it is smaller than the sum of its proper divisors (21058900160).

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

10870484800 is a wasteful number, since it uses less digits than its factorization.

10870484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The spelling of 10870484800 in words is "ten billion, eight hundred seventy million, four hundred eighty-four thousand, eight hundred".