10116584280 has 192 divisors, whose sum is σ = 36005018400. Its totient is φ = 2443130880.

The previous prime is 10116584249. The next prime is 10116584321. The reversal of 10116584280 is 8248561101.

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

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, 1060492 + ... + 1069988.

Almost surely, 2^10116584280 is an apocalyptic number.

10116584280 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 10116584280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18002509200).

10116584280 is an abundant number, since it is smaller than the sum of its proper divisors (25888434120).

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

10116584280 is a wasteful number, since it uses less digits than its factorization.

10116584280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9794 (or 9787 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 10116584280 in words is "ten billion, one hundred sixteen million, five hundred eighty-four thousand, two hundred eighty".