47950964001360 has 2560 divisors, whose sum is σ = 206161890508800. Its totient is φ = 10003434577920.

The previous prime is 47950964001293. The next prime is 47950964001373. The reversal of 47950964001360 is 6310046905974.

47950964001360 is a `hidden beast` number, since 4 + 7 + 9 + 509 + 64 + 0 + 0 + 13 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 47950964001297 and 47950964001306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 277173202234 + ... + 277173202406.

It is an arithmetic number, because the mean of its divisors is an integer number (80531988480).

Almost surely, 2^{47950964001360} is an apocalyptic number.

47950964001360 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 47950964001360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103080945254400).

47950964001360 is an abundant number, since it is smaller than the sum of its proper divisors (158210926507440).

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

47950964001360 is a wasteful number, since it uses less digits than its factorization.

47950964001360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 47950964001360 in words is "forty-seven trillion, nine hundred fifty billion, nine hundred sixty-four million, one thousand, three hundred sixty".