47359962524160 has 5040 divisors, whose sum is σ = 217497365887032. Its totient is φ = 9837981204480.

The previous prime is 47359962524159. The next prime is 47359962524183. The reversal of 47359962524160 is 6142526995374.

It is a happy number.

47359962524160 is a `hidden beast` number, since 4 + 7 + 3 + 5 + 9 + 96 + 2 + 524 + 16 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 599967979776 + 46759994544384 = 774576^2 + 6838128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 648766609884 + ... + 648766609956.

Almost surely, 2^{47359962524160} is an apocalyptic number.

47359962524160 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 47359962524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108748682943516).

47359962524160 is an abundant number, since it is smaller than the sum of its proper divisors (170137403362872).

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

47359962524160 is a wasteful number, since it uses less digits than its factorization.

47359962524160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 47359962524160 in words is "forty-seven trillion, three hundred fifty-nine billion, nine hundred sixty-two million, five hundred twenty-four thousand, one hundred sixty".