49795975152 has 320 divisors, whose sum is σ = 178731417600. Its totient is φ = 12895614720.

The previous prime is 49795975147. The next prime is 49795975199. The reversal of 49795975152 is 25157959794.

49795975152 is a `hidden beast` number, since 49 + 79 + 5 + 9 + 7 + 515 + 2 = 666.

It is a super-4 number, since 4×49795975152⁴ (a number of 44 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 49795975152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12205849 + ... + 12209927.

It is an arithmetic number, because the mean of its divisors is an integer number (558535680).

Almost surely, 2^49795975152 is an apocalyptic number.

49795975152 is a gapful number since it is divisible by the number (42) 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 49795975152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89365708800).

49795975152 is an abundant number, since it is smaller than the sum of its proper divisors (128935442448).

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

49795975152 is a wasteful number, since it uses less digits than its factorization.

49795975152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481 (or 4469 counting only the distinct ones).

The product of its digits is 35721000, while the sum is 63.

The spelling of 49795975152 in words is "forty-nine billion, seven hundred ninety-five million, nine hundred seventy-five thousand, one hundred fifty-two".