13770856008 has 320 divisors, whose sum is σ = 47679730560. Its totient is φ = 3616026624.

The previous prime is 13770855997. The next prime is 13770856019. The reversal of 13770856008 is 80065807731.

13770856008 is a `hidden beast` number, since 1 + 37 + 7 + 0 + 8 + 5 + 600 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13770855997) and next prime (13770856019).

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, 20461560 + ... + 20462232.

It is an arithmetic number, because the mean of its divisors is an integer number (148999158).

Almost surely, 2^13770856008 is an apocalyptic number.

13770856008 is a gapful number since it is divisible by the number (18) 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 13770856008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23839865280).

13770856008 is an abundant number, since it is smaller than the sum of its proper divisors (33908874552).

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

13770856008 is a wasteful number, since it uses less digits than its factorization.

13770856008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 13770856008 in words is "thirteen billion, seven hundred seventy million, eight hundred fifty-six thousand, eight".