47979786280960 has 224 divisors, whose sum is σ = 117412617014784. Its totient is φ = 18816860160000.

The previous prime is 47979786280891. The next prime is 47979786280961. The reversal of 47979786280960 is 6908268797974.

It is not an unprimeable number, because it can be changed into a prime (47979786280961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526331385 + ... + 526422535.

It is an arithmetic number, because the mean of its divisors is an integer number (524163468816).

Almost surely, 2^{47979786280960} is an apocalyptic number.

47979786280960 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 47979786280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58706308507392).

47979786280960 is an abundant number, since it is smaller than the sum of its proper divisors (69432830733824).

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

47979786280960 is an equidigital number, since it uses as much as digits as its factorization.

47979786280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91434 (or 91410 counting only the distinct ones).

The product of its (nonzero) digits is 4608866304, while the sum is 82.

The spelling of 47979786280960 in words is "forty-seven trillion, nine hundred seventy-nine billion, seven hundred eighty-six million, two hundred eighty thousand, nine hundred sixty".