13700966400 has 1152 divisors, whose sum is σ = 59227459200. Its totient is φ = 3067084800.

The previous prime is 13700966399. The next prime is 13700966459. The reversal of 13700966400 is 466900731.

13700966400 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 0 + 9 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258508774 + ... + 258508826.

It is an arithmetic number, because the mean of its divisors is an integer number (51412725).

Almost surely, 2^13700966400 is an apocalyptic number.

13700966400 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 13700966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29613729600).

13700966400 is an abundant number, since it is smaller than the sum of its proper divisors (45526492800).

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

13700966400 is a wasteful number, since it uses less digits than its factorization.

13700966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

It can be divided in two parts, 13700 and 966400, that added together give a square (980100 = 990²).

The spelling of 13700966400 in words is "thirteen billion, seven hundred million, nine hundred sixty-six thousand, four hundred".