10879203686400 has 864 divisors, whose sum is σ = 45965058048000. Its totient is φ = 2406437683200.

The previous prime is 10879203686381. The next prime is 10879203686419. The reversal of 10879203686400 is 468630297801.

10879203686400 is a `hidden beast` number, since 10 + 87 + 92 + 0 + 3 + 68 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (10879203686381) and next prime (10879203686419).

It is a congruent number.

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, 99939201 + ... + 100047999.

Almost surely, 2^{10879203686400} is an apocalyptic number.

10879203686400 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 10879203686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982529024000).

10879203686400 is an abundant number, since it is smaller than the sum of its proper divisors (35085854361600).

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

10879203686400 is a wasteful number, since it uses less digits than its factorization.

10879203686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108875 (or 108847 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 10879203686400 in words is "ten trillion, eight hundred seventy-nine billion, two hundred three million, six hundred eighty-six thousand, four hundred".