108078552960 has 1024 divisors, whose sum is σ = 431813099520. Its totient is φ = 22458433536.

The previous prime is 108078552931. The next prime is 108078552991. The reversal of 108078552960 is 69255870801.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 624731434 + ... + 624731606.

It is an arithmetic number, because the mean of its divisors is an integer number (421692480).

Almost surely, 2^108078552960 is an apocalyptic number.

108078552960 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 108078552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215906549760).

108078552960 is an abundant number, since it is smaller than the sum of its proper divisors (323734546560).

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

108078552960 is a wasteful number, since it uses less digits than its factorization.

108078552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 108078552960 in words is "one hundred eight billion, seventy-eight million, five hundred fifty-two thousand, nine hundred sixty".