49610957760 has 1792 divisors, whose sum is σ = 235139788800. Its totient is φ = 9674588160.

The previous prime is 49610957707. The next prime is 49610957783. The reversal of 49610957760 is 6775901694.

49610957760 is a `hidden beast` number, since 4 + 9 + 6 + 1 + 0 + 9 + 577 + 60 = 666.

It is a super-2 number, since 2×49610957760² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 49610957697 and 49610957706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1210023340 + ... + 1210023380.

It is an arithmetic number, because the mean of its divisors is an integer number (131216400).

Almost surely, 2^49610957760 is an apocalyptic number.

49610957760 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 49610957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117569894400).

49610957760 is an abundant number, since it is smaller than the sum of its proper divisors (185528831040).

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

49610957760 is a wasteful number, since it uses less digits than its factorization.

49610957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 49610957760 in words is "forty-nine billion, six hundred ten million, nine hundred fifty-seven thousand, seven hundred sixty".