47473136578560 has 416 divisors, whose sum is σ = 189376217759232. Its totient is φ = 9864546877440.

The previous prime is 47473136578493. The next prime is 47473136578577. The reversal of 47473136578560 is 6587563137474.

It is a super-2 number, since 2×47473136578560² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 47473136578491 and 47473136578500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286489 + ... + 9748248.

Almost surely, 2^{47473136578560} is an apocalyptic number.

47473136578560 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 47473136578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94688108879616).

47473136578560 is an abundant number, since it is smaller than the sum of its proper divisors (141903081180672).

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

47473136578560 is a wasteful number, since it uses less digits than its factorization.

47473136578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10034787 (or 10034765 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 66.

The spelling of 47473136578560 in words is "forty-seven trillion, four hundred seventy-three billion, one hundred thirty-six million, five hundred seventy-eight thousand, five hundred sixty".