13978905600 has 264 divisors, whose sum is σ = 50404148928. Its totient is φ = 3388620800.

The previous prime is 13978905557. The next prime is 13978905617. The reversal of 13978905600 is 650987931.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×13978905600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13978905600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836527 + ... + 853073.

Almost surely, 2^13978905600 is an apocalyptic number.

13978905600 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 13978905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25202074464).

13978905600 is an abundant number, since it is smaller than the sum of its proper divisors (36425243328).

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

13978905600 is a wasteful number, since it uses less digits than its factorization.

13978905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16591 (or 16568 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 13978905600 in words is "thirteen billion, nine hundred seventy-eight million, nine hundred five thousand, six hundred".