49617100800 has 504 divisors, whose sum is σ = 184496040456. Its totient is φ = 13217955840.

The previous prime is 49617100763. The next prime is 49617100801. The reversal of 49617100800 is 800171694.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49617100801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49765902 + ... + 49766898.

Almost surely, 2^49617100800 is an apocalyptic number.

49617100800 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 49617100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92248020228).

49617100800 is an abundant number, since it is smaller than the sum of its proper divisors (134878939656).

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

49617100800 is an frugal number, since it uses more digits than its factorization.

49617100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 49617100800 in words is "forty-nine billion, six hundred seventeen million, one hundred thousand, eight hundred".