47290701296520 has 288 divisors, whose sum is σ = 169027724338200. Its totient is φ = 11458271784960.

The previous prime is 47290701296441. The next prime is 47290701296521. The reversal of 47290701296520 is 2569210709274.

47290701296520 is a `hidden beast` number, since 4 + 7 + 2 + 90 + 7 + 0 + 1 + 29 + 6 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35982506125764 + 11308195170756 = 5998542^2 + 3362766^2 .

It is a super-2 number, since 2×47290701296520² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47290701296521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81298066 + ... + 81877694.

Almost surely, 2^{47290701296520} is an apocalyptic number.

47290701296520 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 47290701296520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84513862169100).

47290701296520 is an abundant number, since it is smaller than the sum of its proper divisors (121737023041680).

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

47290701296520 is a wasteful number, since it uses less digits than its factorization.

47290701296520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581541 (or 581523 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 47290701296520 in words is "forty-seven trillion, two hundred ninety billion, seven hundred one million, two hundred ninety-six thousand, five hundred twenty".