11699875643400 has 288 divisors, whose sum is σ = 47268671486400. Its totient is φ = 2533506854400.

The previous prime is 11699875643383. The next prime is 11699875643471. The reversal of 11699875643400 is 434657899611.

11699875643400 is a `hidden beast` number, since 1 + 1 + 6 + 99 + 87 + 5 + 64 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 24196431 + ... + 24675230.

It is an arithmetic number, because the mean of its divisors is an integer number (164127331550).

Almost surely, 2^{11699875643400} is an apocalyptic number.

11699875643400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11699875643400 is an abundant number, since it is smaller than the sum of its proper divisors (35568795843000).

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

11699875643400 is a wasteful number, since it uses less digits than its factorization.

11699875643400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48871709 (or 48871697 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 11699875643400 in words is "eleven trillion, six hundred ninety-nine billion, eight hundred seventy-five million, six hundred forty-three thousand, four hundred".