47865536409600 has 7488 divisors, whose sum is σ = 249645701652480. Its totient is φ = 8714295705600.

The previous prime is 47865536409553. The next prime is 47865536409601. The reversal of 47865536409600 is 690463556874.

47865536409600 is a `hidden beast` number, since 4 + 7 + 8 + 6 + 5 + 536 + 4 + 0 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7488).

It is a super-2 number, since 2×47865536409600² (a number of 28 digits) contains 22 as substring.

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 (47865536409601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1544049561585 + ... + 1544049561615.

Almost surely, 2^{47865536409600} is an apocalyptic number.

47865536409600 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 47865536409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124822850826240).

47865536409600 is an abundant number, since it is smaller than the sum of its proper divisors (201780165242880).

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

47865536409600 is a wasteful number, since it uses less digits than its factorization.

47865536409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 47865536409600 in words is "forty-seven trillion, eight hundred sixty-five billion, five hundred thirty-six million, four hundred nine thousand, six hundred".