47528965120 has 792 divisors, whose sum is σ = 153736250400. Its totient is φ = 14008909824.

The previous prime is 47528965103. The next prime is 47528965147. The reversal of 47528965120 is 2156982574.

It is a super-2 number, since 2×47528965120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 805575651 + ... + 805575709.

Almost surely, 2^47528965120 is an apocalyptic number.

47528965120 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 47528965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76868125200).

47528965120 is an abundant number, since it is smaller than the sum of its proper divisors (106207285280).

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

47528965120 is a wasteful number, since it uses less digits than its factorization.

47528965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

The spelling of 47528965120 in words is "forty-seven billion, five hundred twenty-eight million, nine hundred sixty-five thousand, one hundred twenty".