47565197138880 has 336 divisors, whose sum is σ = 167558903351424. Its totient is φ = 12378999029760.

The previous prime is 47565197138863. The next prime is 47565197138887. The reversal of 47565197138880 is 8883179156574.

47565197138880 is a `hidden beast` number, since 4 + 7 + 5 + 6 + 519 + 71 + 38 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 47565197138799 and 47565197138808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47565197138887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47284350 + ... + 48279810.

Almost surely, 2^{47565197138880} is an apocalyptic number.

47565197138880 is a gapful number since it is divisible by the number (40) 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 47565197138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83779451675712).

47565197138880 is an abundant number, since it is smaller than the sum of its proper divisors (119993706212544).

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

47565197138880 is a wasteful number, since it uses less digits than its factorization.

47565197138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995884 (or 995871 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 47565197138880 in words is "forty-seven trillion, five hundred sixty-five billion, one hundred ninety-seven million, one hundred thirty-eight thousand, eight hundred eighty".