47790751135680 has 3136 divisors, whose sum is σ = 213576159283200. Its totient is φ = 9932577177600.

The previous prime is 47790751135651. The next prime is 47790751135691. The reversal of 47790751135680 is 8653115709774.

47790751135680 is a `hidden beast` number, since 4 + 7 + 7 + 9 + 0 + 7 + 51 + 13 + 568 + 0 = 666.

It is a super-2 number, since 2×47790751135680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 226496450775 + ... + 226496450985.

Almost surely, 2^{47790751135680} is an apocalyptic number.

47790751135680 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 47790751135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106788079641600).

47790751135680 is an abundant number, since it is smaller than the sum of its proper divisors (165785408147520).

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

47790751135680 is a wasteful number, since it uses less digits than its factorization.

47790751135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 47790751135680 in words is "forty-seven trillion, seven hundred ninety billion, seven hundred fifty-one million, one hundred thirty-five thousand, six hundred eighty".