47556105957360 has 1920 divisors, whose sum is σ = 224298313989120. Its totient is φ = 9103817318400.

The previous prime is 47556105957359. The next prime is 47556105957361. The reversal of 47556105957360 is 6375950165574.

47556105957360 is a `hidden beast` number, since 4 + 7 + 5 + 5 + 6 + 1 + 0 + 59 + 573 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47556105957359) and next prime (47556105957361).

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 (47556105957361) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8521069770 + ... + 8521075350.

It is an arithmetic number, because the mean of its divisors is an integer number (116822038536).

Almost surely, 2^{47556105957360} is an apocalyptic number.

47556105957360 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 47556105957360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112149156994560).

47556105957360 is an abundant number, since it is smaller than the sum of its proper divisors (176742208031760).

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

47556105957360 is a wasteful number, since it uses less digits than its factorization.

47556105957360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 119070000, while the sum is 63.

The spelling of 47556105957360 in words is "forty-seven trillion, five hundred fifty-six billion, one hundred five million, nine hundred fifty-seven thousand, three hundred sixty".