10218564720 has 1200 divisors, whose sum is σ = 46391887872. Its totient is φ = 2037934080.

The previous prime is 10218564709. The next prime is 10218564761. The reversal of 10218564720 is 2746581201.

10218564720 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 8 + 5 + 647 + 2 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 237641019 + ... + 237641061.

Almost surely, 2^10218564720 is an apocalyptic number.

10218564720 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 10218564720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23195943936).

10218564720 is an abundant number, since it is smaller than the sum of its proper divisors (36173323152).

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

10218564720 is a wasteful number, since it uses less digits than its factorization.

10218564720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10218564720 in words is "ten billion, two hundred eighteen million, five hundred sixty-four thousand, seven hundred twenty".