10484570880 has 576 divisors, whose sum is σ = 44778316800. Its totient is φ = 2269347840.

The previous prime is 10484570879. The next prime is 10484570893. The reversal of 10484570880 is 8807548401.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4595340 + ... + 4597620.

Almost surely, 2^10484570880 is an apocalyptic number.

10484570880 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 10484570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22389158400).

10484570880 is an abundant number, since it is smaller than the sum of its proper divisors (34293745920).

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

10484570880 is a wasteful number, since it uses less digits than its factorization.

10484570880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 10484570880 in words is "ten billion, four hundred eighty-four million, five hundred seventy thousand, eight hundred eighty".