47891178720 has 1152 divisors, whose sum is σ = 223968955392. Its totient is φ = 9356083200.

The previous prime is 47891178691. The next prime is 47891178763. The reversal of 47891178720 is 2787119874.

47891178720 is a `hidden beast` number, since 478 + 91 + 1 + 7 + 87 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50893450 + ... + 50894390.

It is an arithmetic number, because the mean of its divisors is an integer number (194417496).

Almost surely, 2^47891178720 is an apocalyptic number.

47891178720 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 47891178720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111984477696).

47891178720 is an abundant number, since it is smaller than the sum of its proper divisors (176077776672).

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

47891178720 is a wasteful number, since it uses less digits than its factorization.

47891178720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 47891178720 in words is "forty-seven billion, eight hundred ninety-one million, one hundred seventy-eight thousand, seven hundred twenty".