47902518720 has 280 divisors, whose sum is σ = 194740950624. Its totient is φ = 10949105664.

The previous prime is 47902518707. The next prime is 47902518721. The reversal of 47902518720 is 2781520974.

It is a happy number.

47902518720 is a `hidden beast` number, since 47 + 90 + 2 + 518 + 7 + 2 + 0 = 666.

47902518720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47902518721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49434 + ... + 313446.

Almost surely, 2^47902518720 is an apocalyptic number.

47902518720 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 47902518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97370475312).

47902518720 is an abundant number, since it is smaller than the sum of its proper divisors (146838431904).

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

47902518720 is a wasteful number, since it uses less digits than its factorization.

47902518720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264049 (or 264030 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 47902518720 in words is "forty-seven billion, nine hundred two million, five hundred eighteen thousand, seven hundred twenty".