49835988720 has 800 divisors, whose sum is σ = 205202866176. Its totient is φ = 10973491200.

The previous prime is 49835988703. The next prime is 49835988751. The reversal of 49835988720 is 2788953894.

49835988720 is a `hidden beast` number, since 498 + 35 + 98 + 8 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 236189415 + ... + 236189625.

Almost surely, 2^49835988720 is an apocalyptic number.

49835988720 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 49835988720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102601433088).

49835988720 is an abundant number, since it is smaller than the sum of its proper divisors (155366877456).

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

49835988720 is a wasteful number, since it uses less digits than its factorization.

49835988720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 49835988720 in words is "forty-nine billion, eight hundred thirty-five million, nine hundred eighty-eight thousand, seven hundred twenty".