49993814520 has 512 divisors, whose sum is σ = 183162470400. Its totient is φ = 12055910400.

The previous prime is 49993814509. The next prime is 49993814539. The reversal of 49993814520 is 2541839994.

49993814520 is a `hidden beast` number, since 499 + 9 + 3 + 8 + 145 + 2 + 0 = 666.

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

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, 261747625 + ... + 261747815.

It is an arithmetic number, because the mean of its divisors is an integer number (357739200).

Almost surely, 2^49993814520 is an apocalyptic number.

49993814520 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 49993814520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91581235200).

49993814520 is an abundant number, since it is smaller than the sum of its proper divisors (133168655880).

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

49993814520 is a wasteful number, since it uses less digits than its factorization.

49993814520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 49993814520 in words is "forty-nine billion, nine hundred ninety-three million, eight hundred fourteen thousand, five hundred twenty".