49082073600 has 960 divisors, whose sum is σ = 205171439616. Its totient is φ = 10078126080.

The previous prime is 49082073569. The next prime is 49082073611. The reversal of 49082073600 is 637028094.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105100567 + ... + 105101033.

Almost surely, 2^49082073600 is an apocalyptic number.

49082073600 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 49082073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102585719808).

49082073600 is an abundant number, since it is smaller than the sum of its proper divisors (156089366016).

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

49082073600 is a wasteful number, since it uses less digits than its factorization.

49082073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 49082073600 in words is "forty-nine billion, eighty-two million, seventy-three thousand, six hundred".