47245916520 has 864 divisors, whose sum is σ = 187267298400. Its totient is φ = 10702264320.

The previous prime is 47245916519. The next prime is 47245916521. The reversal of 47245916520 is 2561954274.

47245916520 is a `hidden beast` number, since 4 + 7 + 2 + 4 + 591 + 6 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47245916519) and next prime (47245916521).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47245916521) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 339898611 + ... + 339898749.

Almost surely, 2^47245916520 is an apocalyptic number.

47245916520 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 47245916520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93633649200).

47245916520 is an abundant number, since it is smaller than the sum of its proper divisors (140021381880).

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

47245916520 is a wasteful number, since it uses less digits than its factorization.

47245916520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 47245916520 in words is "forty-seven billion, two hundred forty-five million, nine hundred sixteen thousand, five hundred twenty".