10236166560 has 384 divisors, whose sum is σ = 37936926720. Its totient is φ = 2572416000.

The previous prime is 10236166553. The next prime is 10236166579. The reversal of 10236166560 is 6566163201.

10236166560 is a `hidden beast` number, since 1 + 0 + 2 + 36 + 1 + 66 + 560 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7053835 + ... + 7055285.

It is an arithmetic number, because the mean of its divisors is an integer number (98794080).

Almost surely, 2^10236166560 is an apocalyptic number.

10236166560 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 10236166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18968463360).

10236166560 is an abundant number, since it is smaller than the sum of its proper divisors (27700760160).

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

10236166560 is a wasteful number, since it uses less digits than its factorization.

10236166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

It can be divided in two parts, 102361 and 66560, that added together give a square (168921 = 411²).

The spelling of 10236166560 in words is "ten billion, two hundred thirty-six million, one hundred sixty-six thousand, five hundred sixty".