11977876878336 has 1408 divisors, whose sum is σ = 40145043456000. Its totient is φ = 3511517184000.

The previous prime is 11977876878283. The next prime is 11977876878343. The reversal of 11977876878336 is 63387867877911.

11977876878336 is a `hidden beast` number, since 1 + 1 + 97 + 78 + 7 + 68 + 78 + 336 = 666.

It is a super-2 number, since 2×11977876878336² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79323687861 + ... + 79323688011.

Almost surely, 2^{11977876878336} is an apocalyptic number.

11977876878336 is a gapful number since it is divisible by the number (16) 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 11977876878336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20072521728000).

11977876878336 is an abundant number, since it is smaller than the sum of its proper divisors (28167166577664).

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

11977876878336 is a wasteful number, since it uses less digits than its factorization.

11977876878336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 372 counting only the distinct ones).

The product of its digits is 3584673792, while the sum is 81.

The spelling of 11977876878336 in words is "eleven trillion, nine hundred seventy-seven billion, eight hundred seventy-six million, eight hundred seventy-eight thousand, three hundred thirty-six".