47991653012160 has 1120 divisors, whose sum is σ = 212357914477632. Its totient is φ = 10107648737280.

The previous prime is 47991653012089. The next prime is 47991653012167. The reversal of 47991653012160 is 6121035619974.

47991653012160 is a `hidden beast` number, since 4 + 7 + 9 + 91 + 6 + 530 + 1 + 2 + 16 + 0 = 666.

47991653012160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47991653012160² (a number of 28 digits) contains 22 as substring.

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 = 47991653012097 and 47991653012106.

It is not an unprimeable number, because it can be changed into a prime (47991653012167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 62630704 + ... + 63392336.

Almost surely, 2^{47991653012160} is an apocalyptic number.

47991653012160 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 47991653012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106178957238816).

47991653012160 is an abundant number, since it is smaller than the sum of its proper divisors (164366261465472).

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

47991653012160 is a wasteful number, since it uses less digits than its factorization.

47991653012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761703 (or 761684 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 47991653012160 in words is "forty-seven trillion, nine hundred ninety-one billion, six hundred fifty-three million, twelve thousand, one hundred sixty".