10215747360 has 1152 divisors, whose sum is σ = 46010764800. Its totient is φ = 2048385024.

The previous prime is 10215747349. The next prime is 10215747401. The reversal of 10215747360 is 6374751201.

It is a happy number.

10215747360 is a `hidden beast` number, since 1 + 0 + 21 + 574 + 7 + 3 + 60 = 666.

10215747360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10215747360² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 237575499 + ... + 237575541.

It is an arithmetic number, because the mean of its divisors is an integer number (39939900).

Almost surely, 2^10215747360 is an apocalyptic number.

10215747360 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 10215747360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23005382400).

10215747360 is an abundant number, since it is smaller than the sum of its proper divisors (35795017440).

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

10215747360 is a wasteful number, since it uses less digits than its factorization.

10215747360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10215747360 in words is "ten billion, two hundred fifteen million, seven hundred forty-seven thousand, three hundred sixty".