11402039900160 has 2304 divisors, whose sum is σ = 51357424809600. Its totient is φ = 2378170368000.

The previous prime is 11402039900143. The next prime is 11402039900213. The reversal of 11402039900160 is 6100993020411.

It is a happy number.

11402039900160 is a `hidden beast` number, since 1 + 1 + 402 + 0 + 3 + 9 + 90 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17787893440 + ... + 17787894080.

Almost surely, 2^{11402039900160} is an apocalyptic number.

11402039900160 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 11402039900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25678712404800).

11402039900160 is an abundant number, since it is smaller than the sum of its proper divisors (39955384909440).

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

11402039900160 is a wasteful number, since it uses less digits than its factorization.

11402039900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 11402039900160 in words is "eleven trillion, four hundred two billion, thirty-nine million, nine hundred thousand, one hundred sixty".