10651630080 has 320 divisors, whose sum is σ = 41912817408. Its totient is φ = 2247229440.

The previous prime is 10651630079. The next prime is 10651630091. The reversal of 10651630080 is 8003615601.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×10651630080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 691260 + ... + 706500.

Almost surely, 2^10651630080 is an apocalyptic number.

10651630080 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 10651630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956408704).

10651630080 is an abundant number, since it is smaller than the sum of its proper divisors (31261187328).

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

10651630080 is a wasteful number, since it uses less digits than its factorization.

10651630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15287 (or 15271 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 10651630080 in words is "ten billion, six hundred fifty-one million, six hundred thirty thousand, eighty".