49075891200 has 1584 divisors, whose sum is σ = 221744140800. Its totient is φ = 10729635840.

The previous prime is 49075891199. The next prime is 49075891201. The reversal of 49075891200 is 219857094.

49075891200 is a `hidden beast` number, since 49 + 0 + 7 + 589 + 1 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49075891199) and next prime (49075891201).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (49075891201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2133734389 + ... + 2133734411.

Almost surely, 2^49075891200 is an apocalyptic number.

49075891200 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 49075891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110872070400).

49075891200 is an abundant number, since it is smaller than the sum of its proper divisors (172668249600).

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

49075891200 is an equidigital number, since it uses as much as digits as its factorization.

49075891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

49075891200 divided by its product of nonzero digits (181440) gives a triangular number (270480 = T₇₃₅).

The spelling of 49075891200 in words is "forty-nine billion, seventy-five million, eight hundred ninety-one thousand, two hundred".