49960834560 has 1280 divisors, whose sum is σ = 224385638400. Its totient is φ = 10316906496.

The previous prime is 49960834543. The next prime is 49960834579. The reversal of 49960834560 is 6543806994.

49960834560 is a `hidden beast` number, since 49 + 9 + 6 + 0 + 8 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 = 49960834497 and 49960834506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1062996457 + ... + 1062996503.

It is an arithmetic number, because the mean of its divisors is an integer number (175301280).

Almost surely, 2^49960834560 is an apocalyptic number.

49960834560 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 49960834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112192819200).

49960834560 is an abundant number, since it is smaller than the sum of its proper divisors (174424803840).

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

49960834560 is an equidigital number, since it uses as much as digits as its factorization.

49960834560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 49960834560 in words is "forty-nine billion, nine hundred sixty million, eight hundred thirty-four thousand, five hundred sixty".