11875887263988 has 720 divisors, whose sum is σ = 37473007283712. Its totient is φ = 3262411468800.

The previous prime is 11875887263897. The next prime is 11875887264049. The reversal of 11875887263988 is 88936278857811.

11875887263988 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 588 + 7 + 26 + 3 + 9 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 239 ways as a sum of consecutive naturals, for example, 4813897131 + ... + 4813899597.

Almost surely, 2^{11875887263988} is an apocalyptic number.

11875887263988 is a gapful number since it is divisible by the number (18) 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 11875887263988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18736503641856).

11875887263988 is an abundant number, since it is smaller than the sum of its proper divisors (25597120019724).

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

11875887263988 is a wasteful number, since it uses less digits than its factorization.

11875887263988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2764 counting only the distinct ones).

The product of its digits is 2601123840, while the sum is 81.

The spelling of 11875887263988 in words is "eleven trillion, eight hundred seventy-five billion, eight hundred eighty-seven million, two hundred sixty-three thousand, nine hundred eighty-eight".