10215948960 has 384 divisors, whose sum is σ = 41038824960. Its totient is φ = 2325086208.

The previous prime is 10215948959. The next prime is 10215948979. The reversal of 10215948960 is 6984951201.

10215948960 is a `hidden beast` number, since 10 + 2 + 159 + 489 + 6 + 0 = 666.

It is a super-2 number, since 2×10215948960² (a number of 21 digits) contains 22 as substring.

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

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, 8859744 + ... + 8860896.

It is an arithmetic number, because the mean of its divisors is an integer number (106871940).

Almost surely, 2^10215948960 is an apocalyptic number.

10215948960 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 10215948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20519412480).

10215948960 is an abundant number, since it is smaller than the sum of its proper divisors (30822876000).

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

10215948960 is a wasteful number, since it uses less digits than its factorization.

10215948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10215948960 in words is "ten billion, two hundred fifteen million, nine hundred forty-eight thousand, nine hundred sixty".