11777972620320 has 192 divisors, whose sum is σ = 41273005213440. Its totient is φ = 3136975478784.

The previous prime is 11777972620291. The next prime is 11777972620363. The reversal of 11777972620320 is 2302627977711.

11777972620320 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 7 + 9 + 7 + 2 + 620 + 3 + 2 + 0 = 666.

11777972620320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11777972620320³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1898992 + ... + 5211728.

It is an arithmetic number, because the mean of its divisors is an integer number (214963568820).

Almost surely, 2^{11777972620320} is an apocalyptic number.

11777972620320 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 11777972620320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20636502606720).

11777972620320 is an abundant number, since it is smaller than the sum of its proper divisors (29495032593120).

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

11777972620320 is a wasteful number, since it uses less digits than its factorization.

11777972620320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313584 (or 3313570 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 11777972620320 in words is "eleven trillion, seven hundred seventy-seven billion, nine hundred seventy-two million, six hundred twenty thousand, three hundred twenty".