47823749120 has 512 divisors, whose sum is σ = 143443008000. Its totient is φ = 15259926528.

The previous prime is 47823749089. The next prime is 47823749131. The reversal of 47823749120 is 2194732874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×47823749120² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1292533742 + ... + 1292533778.

It is an arithmetic number, because the mean of its divisors is an integer number (280162125).

Almost surely, 2^47823749120 is an apocalyptic number.

47823749120 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 47823749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71721504000).

47823749120 is an abundant number, since it is smaller than the sum of its proper divisors (95619258880).

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

47823749120 is an frugal number, since it uses more digits than its factorization.

47823749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 47823749120 in words is "forty-seven billion, eight hundred twenty-three million, seven hundred forty-nine thousand, one hundred twenty".