47390757765120 has 1200 divisors, whose sum is σ = 211824984083328. Its totient is φ = 9847324016640.

The previous prime is 47390757765119. The next prime is 47390757765139. The reversal of 47390757765120 is 2156775709374.

47390757765120 is a `hidden beast` number, since 4 + 7 + 3 + 9 + 0 + 7 + 577 + 6 + 51 + 2 + 0 = 666.

It is a super-2 number, since 2×47390757765120² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 510888664 + ... + 510981416.

Almost surely, 2^{47390757765120} is an apocalyptic number.

47390757765120 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 47390757765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105912492041664).

47390757765120 is an abundant number, since it is smaller than the sum of its proper divisors (164434226318208).

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

47390757765120 is an equidigital number, since it uses as much as digits as its factorization.

47390757765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92816 (or 92781 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 63.

The spelling of 47390757765120 in words is "forty-seven trillion, three hundred ninety billion, seven hundred fifty-seven million, seven hundred sixty-five thousand, one hundred twenty".