10896139416240 has 160 divisors (see below), whose sum is σ = 40418158280640. Its totient is φ = 2682126618624.

The previous prime is 10896139416221. The next prime is 10896139416257. The reversal of 10896139416240 is 4261493169801.

10896139416240 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 6 + 1 + 3 + 9 + 4 + 1 + 624 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193991497 + ... + 194047656.

It is an arithmetic number, because the mean of its divisors is an integer number (252613489254).

Almost surely, 2^{10896139416240} is an apocalyptic number.

10896139416240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10896139416240 is an abundant number, since it is smaller than the sum of its proper divisors (29522018864400).

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

10896139416240 is a wasteful number, since it uses less digits than its factorization.

10896139416240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388039188 (or 388039176 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 10896139416240 in words is "ten trillion, eight hundred ninety-six billion, one hundred thirty-nine million, four hundred sixteen thousand, two hundred forty".