10878070616100 has 216 divisors, whose sum is σ = 35617658844768. Its totient is φ = 2879644089600.

The previous prime is 10878070616099. The next prime is 10878070616183. The reversal of 10878070616100 is 161607087801.

It is a happy number.

10878070616100 is a `hidden beast` number, since 10 + 8 + 7 + 8 + 0 + 7 + 0 + 616 + 10 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1695315 + ... + 4962885.

Almost surely, 2^{10878070616100} is an apocalyptic number.

10878070616100 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 10878070616100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17808829422384).

10878070616100 is an abundant number, since it is smaller than the sum of its proper divisors (24739588228668).

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

10878070616100 is a wasteful number, since it uses less digits than its factorization.

10878070616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267737 (or 3267718 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 10878070616100 in words is "ten trillion, eight hundred seventy-eight billion, seventy million, six hundred sixteen thousand, one hundred".