49775721600 has 576 divisors, whose sum is σ = 182987975520. Its totient is φ = 11881267200.

The previous prime is 49775721577. The next prime is 49775721617. The reversal of 49775721600 is 612757794.

It is a happy number.

49775721600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49775721600.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84796507 + ... + 84797093.

Almost surely, 2^49775721600 is an apocalyptic number.

49775721600 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 49775721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91493987760).

49775721600 is an abundant number, since it is smaller than the sum of its proper divisors (133212253920).

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

49775721600 is a wasteful number, since it uses less digits than its factorization.

49775721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 49775721600 in words is "forty-nine billion, seven hundred seventy-five million, seven hundred twenty-one thousand, six hundred".