110978672400 has 480 divisors, whose sum is σ = 419868126720. Its totient is φ = 27744952320.

The previous prime is 110978672393. The next prime is 110978672443. The reversal of 110978672400 is 4276879011.

It is a happy number.

110978672400 is a `hidden beast` number, since 1 + 10 + 97 + 86 + 72 + 400 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53793769 + ... + 53795831.

It is an arithmetic number, because the mean of its divisors is an integer number (874725264).

Almost surely, 2^110978672400 is an apocalyptic number.

110978672400 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 110978672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209934063360).

110978672400 is an abundant number, since it is smaller than the sum of its proper divisors (308889454320).

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

110978672400 is a wasteful number, since it uses less digits than its factorization.

110978672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 110978672400 in words is "one hundred ten billion, nine hundred seventy-eight million, six hundred seventy-two thousand, four hundred".