11950400474100 has 216 divisors, whose sum is σ = 41175063689760. Its totient is φ = 2874951456000.

The previous prime is 11950400474099. The next prime is 11950400474123. The reversal of 11950400474100 is 147400405911.

11950400474100 is a `hidden beast` number, since 1 + 1 + 9 + 504 + 0 + 0 + 47 + 4 + 100 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3310395 + ... + 5904194.

It is an arithmetic number, because the mean of its divisors is an integer number (190625294860).

Almost surely, 2^{11950400474100} is an apocalyptic number.

11950400474100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11950400474100 is an abundant number, since it is smaller than the sum of its proper divisors (29224663215660).

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

11950400474100 is a wasteful number, since it uses less digits than its factorization.

11950400474100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9214751 (or 9214741 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11950400474100 in words is "eleven trillion, nine hundred fifty billion, four hundred million, four hundred seventy-four thousand, one hundred".