11969813750400 has 2688 divisors, whose sum is σ = 53479994739840. Its totient is φ = 2610148147200.

The previous prime is 11969813750387. The next prime is 11969813750431. The reversal of 11969813750400 is 405731896911.

11969813750400 is a `hidden beast` number, since 1 + 1 + 96 + 9 + 81 + 3 + 75 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 10033372204 + ... + 10033373396.

Almost surely, 2^{11969813750400} is an apocalyptic number.

11969813750400 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 11969813750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26739997369920).

11969813750400 is an abundant number, since it is smaller than the sum of its proper divisors (41510180989440).

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

11969813750400 is a wasteful number, since it uses less digits than its factorization.

11969813750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 11969813750400 in words is "eleven trillion, nine hundred sixty-nine billion, eight hundred thirteen million, seven hundred fifty thousand, four hundred".