11876195220480 has 1584 divisors, whose sum is σ = 45078616739520. Its totient is φ = 2997832384512.

The previous prime is 11876195220443. The next prime is 11876195220493. The reversal of 11876195220480 is 8402259167811.

11876195220480 is a `hidden beast` number, since 1 + 1 + 8 + 76 + 1 + 9 + 522 + 0 + 48 + 0 = 666.

It is a super-2 number, since 2×11876195220480² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71114941357 + ... + 71114941523.

Almost surely, 2^{11876195220480} is an apocalyptic number.

11876195220480 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 11876195220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22539308369760).

11876195220480 is an abundant number, since it is smaller than the sum of its proper divisors (33202421519040).

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

11876195220480 is an frugal number, since it uses more digits than its factorization.

11876195220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 11876195220480 in words is "eleven trillion, eight hundred seventy-six billion, one hundred ninety-five million, two hundred twenty thousand, four hundred eighty".