10140164784360 has 320 divisors, whose sum is σ = 36740034611280. Its totient is φ = 2493585285120.

The previous prime is 10140164784317. The next prime is 10140164784383. The reversal of 10140164784360 is 6348746104101.

10140164784360 is a `hidden beast` number, since 1 + 0 + 140 + 1 + 6 + 4 + 78 + 436 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1504218849156 + 8635945935204 = 1226466^2 + 2938698^2 .

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 79 ways as a sum of consecutive naturals, for example, 42886624 + ... + 43122416.

Almost surely, 2^{10140164784360} is an apocalyptic number.

10140164784360 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 10140164784360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18370017305640).

10140164784360 is an abundant number, since it is smaller than the sum of its proper divisors (26599869826920).

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

10140164784360 is a wasteful number, since it uses less digits than its factorization.

10140164784360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236850 (or 236837 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10140164784360 in words is "ten trillion, one hundred forty billion, one hundred sixty-four million, seven hundred eighty-four thousand, three hundred sixty".