49258269980100 has 108 divisors (see below), whose sum is σ = 154400620874500. Its totient is φ = 13135257043200.

The previous prime is 49258269980053. The next prime is 49258269980119. The reversal of 49258269980100 is 108996285294.

49258269980100 is a `hidden beast` number, since 49 + 2 + 582 + 6 + 9 + 9 + 8 + 0 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13129418890116 + 36128851089984 = 3623454^2 + 6010728^2 .

It is a super-2 number, since 2×49258269980100² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43232526 + ... + 44357274.

Almost surely, 2^{49258269980100} is an apocalyptic number.

It is an amenable number.

49258269980100 is an abundant number, since it is smaller than the sum of its proper divisors (105142350894400).

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

49258269980100 is a wasteful number, since it uses less digits than its factorization.

49258269980100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173430 (or 1173420 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 49258269980100 in words is "forty-nine trillion, two hundred fifty-eight billion, two hundred sixty-nine million, nine hundred eighty thousand, one hundred".