10807964044416 has 4608 divisors, whose sum is σ = 48103082496000. Its totient is φ = 2360519884800.

The previous prime is 10807964044307. The next prime is 10807964044463. The reversal of 10807964044416 is 61444046970801.

10807964044416 is a `hidden beast` number, since 1 + 0 + 80 + 79 + 6 + 40 + 44 + 416 = 666.

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 575 ways as a sum of consecutive naturals, for example, 152224845661 + ... + 152224845731.

It is an arithmetic number, because the mean of its divisors is an integer number (10439037000).

Almost surely, 2^{10807964044416} is an apocalyptic number.

10807964044416 is a gapful number since it is divisible by the number (16) 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 10807964044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24051541248000).

10807964044416 is an abundant number, since it is smaller than the sum of its proper divisors (37295118451584).

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

10807964044416 is a wasteful number, since it uses less digits than its factorization.

10807964044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 10807964044416 in words is "ten trillion, eight hundred seven billion, nine hundred sixty-four million, forty-four thousand, four hundred sixteen".