49900941600 has 288 divisors, whose sum is σ = 166849320960. Its totient is φ = 12948848640.

The previous prime is 49900941557. The next prime is 49900941641. The reversal of 49900941600 is 614900994.

49900941600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49900941600² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16152856 + ... + 16155944.

It is an arithmetic number, because the mean of its divisors is an integer number (579337920).

Almost surely, 2^49900941600 is an apocalyptic number.

49900941600 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 49900941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83424660480).

49900941600 is an abundant number, since it is smaller than the sum of its proper divisors (116948379360).

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

49900941600 is a wasteful number, since it uses less digits than its factorization.

49900941600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 49900941600 in words is "forty-nine billion, nine hundred million, nine hundred forty-one thousand, six hundred".