47977072519680 has 800 divisors, whose sum is σ = 176356028616768. Its totient is φ = 12458719641600.

The previous prime is 47977072519643. The next prime is 47977072519699. The reversal of 47977072519680 is 8691527077974.

47977072519680 is a `hidden beast` number, since 47 + 9 + 7 + 7 + 0 + 7 + 2 + 519 + 68 + 0 = 666.

It is a super-3 number, since 3×47977072519680³ (a number of 42 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 47977072519599 and 47977072519608.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4854500019 + ... + 4854509901.

Almost surely, 2^{47977072519680} is an apocalyptic number.

47977072519680 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 47977072519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88178014308384).

47977072519680 is an abundant number, since it is smaller than the sum of its proper divisors (128378956097088).

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

47977072519680 is an equidigital number, since it uses as much as digits as its factorization.

47977072519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10530 (or 10505 counting only the distinct ones).

The product of its (nonzero) digits is 373403520, while the sum is 72.

The spelling of 47977072519680 in words is "forty-seven trillion, nine hundred seventy-seven billion, seventy-two million, five hundred nineteen thousand, six hundred eighty".