49183938720 has 672 divisors, whose sum is σ = 202676826240. Its totient is φ = 11040675840.

The previous prime is 49183938703. The next prime is 49183938721. The reversal of 49183938720 is 2783938194.

49183938720 is a `hidden beast` number, since 491 + 83 + 9 + 3 + 8 + 72 + 0 = 666.

49183938720 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 (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (49183938721) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48171810 + ... + 48172830.

It is an arithmetic number, because the mean of its divisors is an integer number (301602420).

Almost surely, 2^49183938720 is an apocalyptic number.

49183938720 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 49183938720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101338413120).

49183938720 is an abundant number, since it is smaller than the sum of its proper divisors (153492887520).

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

49183938720 is a wasteful number, since it uses less digits than its factorization.

49183938720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 49183938720 in words is "forty-nine billion, one hundred eighty-three million, nine hundred thirty-eight thousand, seven hundred twenty".