47953535167296 has 448 divisors, whose sum is σ = 158953271688960. Its totient is φ = 14048547102720.

The previous prime is 47953535167267. The next prime is 47953535167303. The reversal of 47953535167296 is 69276153535974.

It is a happy number.

47953535167296 is a `hidden beast` number, since 4 + 7 + 9 + 5 + 3 + 535 + 1 + 67 + 29 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110200326 + ... + 110634618.

It is an arithmetic number, because the mean of its divisors is an integer number (354806410020).

Almost surely, 2^{47953535167296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47953535167296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79476635844480).

47953535167296 is an abundant number, since it is smaller than the sum of its proper divisors (110999736521664).

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

47953535167296 is a wasteful number, since it uses less digits than its factorization.

47953535167296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434519 (or 434503 counting only the distinct ones).

The product of its digits is 1285956000, while the sum is 72.

The spelling of 47953535167296 in words is "forty-seven trillion, nine hundred fifty-three billion, five hundred thirty-five million, one hundred sixty-seven thousand, two hundred ninety-six".