11975294016000 has 1600 divisors, whose sum is σ = 51185177581824. Its totient is φ = 2726203392000.

The previous prime is 11975294015987. The next prime is 11975294016013. The reversal of 11975294016000 is 61049257911.

11975294016000 is a `hidden beast` number, since 1 + 19 + 7 + 5 + 29 + 4 + 0 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11975294015987) and next prime (11975294016013).

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12011327502 + ... + 12011328498.

Almost surely, 2^{11975294016000} is an apocalyptic number.

11975294016000 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 11975294016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592588790912).

11975294016000 is an abundant number, since it is smaller than the sum of its proper divisors (39209883565824).

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

11975294016000 is an frugal number, since it uses more digits than its factorization.

11975294016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 11975294016000 in words is "eleven trillion, nine hundred seventy-five billion, two hundred ninety-four million, sixteen thousand".