11977108416000 has 5040 divisors, whose sum is σ = 58223233081728. Its totient is φ = 2445520896000.

The previous prime is 11977108415999. The next prime is 11977108416019. The reversal of 11977108416000 is 61480177911.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a super-2 number, since 2×11977108416000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 386358335985 + ... + 386358336015.

Almost surely, 2^{11977108416000} is an apocalyptic number.

11977108416000 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 11977108416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29111616540864).

11977108416000 is an abundant number, since it is smaller than the sum of its proper divisors (46246124665728).

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

11977108416000 is an frugal number, since it uses more digits than its factorization.

11977108416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 11977108416000 in words is "eleven trillion, nine hundred seventy-seven billion, one hundred eight million, four hundred sixteen thousand".