11875367687040 has 384 divisors, whose sum is σ = 48176210890080. Its totient is φ = 2657424752640.

The previous prime is 11875367687017. The next prime is 11875367687101. The reversal of 11875367687040 is 4078676357811.

11875367687040 is a `hidden beast` number, since 1 + 18 + 7 + 536 + 7 + 6 + 87 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6385047 + ... + 8032406.

Almost surely, 2^{11875367687040} is an apocalyptic number.

11875367687040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11875367687040 is an abundant number, since it is smaller than the sum of its proper divisors (36300843203040).

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

11875367687040 is a wasteful number, since it uses less digits than its factorization.

11875367687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14417502 (or 14417487 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 11875367687040 in words is "eleven trillion, eight hundred seventy-five billion, three hundred sixty-seven million, six hundred eighty-seven thousand, forty".