47874562560 has 960 divisors, whose sum is σ = 194140717056. Its totient is φ = 10786406400.

The previous prime is 47874562501. The next prime is 47874562577. The reversal of 47874562560 is 6526547874.

It is a happy number.

47874562560 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 4 + 5 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×47874562560² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 47874562497 and 47874562506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250652065 + ... + 250652255.

Almost surely, 2^47874562560 is an apocalyptic number.

47874562560 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 47874562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97070358528).

47874562560 is an abundant number, since it is smaller than the sum of its proper divisors (146266154496).

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

47874562560 is a wasteful number, since it uses less digits than its factorization.

47874562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 47874562560 in words is "forty-seven billion, eight hundred seventy-four million, five hundred sixty-two thousand, five hundred sixty".