49552979840 has 512 divisors, whose sum is σ = 152726999040. Its totient is φ = 14956462080.

The previous prime is 49552979831. The next prime is 49552979843. The reversal of 49552979840 is 4897925594.

It is a super-2 number, since 2×49552979840² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49552979843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117702830 + ... + 117703250.

It is an arithmetic number, because the mean of its divisors is an integer number (298294920).

Almost surely, 2^49552979840 is an apocalyptic number.

49552979840 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 49552979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76363499520).

49552979840 is an abundant number, since it is smaller than the sum of its proper divisors (103174019200).

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

49552979840 is a wasteful number, since it uses less digits than its factorization.

49552979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 62.

The spelling of 49552979840 in words is "forty-nine billion, five hundred fifty-two million, nine hundred seventy-nine thousand, eight hundred forty".