11797077932640 has 4320 divisors, whose sum is σ = 59703479922240. Its totient is φ = 2134321643520.

The previous prime is 11797077932623. The next prime is 11797077932641. The reversal of 11797077932640 is 4623977079711.

11797077932640 is a `hidden beast` number, since 1 + 179 + 70 + 7 + 79 + 326 + 4 + 0 = 666.

11797077932640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11797077932641) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 51515624046 + ... + 51515624274.

It is an arithmetic number, because the mean of its divisors is an integer number (13820249982).

Almost surely, 2^{11797077932640} is an apocalyptic number.

11797077932640 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 11797077932640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29851739961120).

11797077932640 is an abundant number, since it is smaller than the sum of its proper divisors (47906401989600).

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

11797077932640 is a wasteful number, since it uses less digits than its factorization.

11797077932640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 28005264, while the sum is 63.

The spelling of 11797077932640 in words is "eleven trillion, seven hundred ninety-seven billion, seventy-seven million, nine hundred thirty-two thousand, six hundred forty".