47553311520 has 672 divisors, whose sum is σ = 197956954944. Its totient is φ = 10637568000.

The previous prime is 47553311513. The next prime is 47553311537. The reversal of 47553311520 is 2511335574.

47553311520 is a `hidden beast` number, since 4 + 7 + 5 + 533 + 115 + 2 + 0 = 666.

It is a super-2 number, since 2×47553311520² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16678095 + ... + 16680945.

It is an arithmetic number, because the mean of its divisors is an integer number (294578802).

Almost surely, 2^47553311520 is an apocalyptic number.

47553311520 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 47553311520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98978477472).

47553311520 is an abundant number, since it is smaller than the sum of its proper divisors (150403643424).

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

47553311520 is a wasteful number, since it uses less digits than its factorization.

47553311520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 47553311520 in words is "forty-seven billion, five hundred fifty-three million, three hundred eleven thousand, five hundred twenty".