49880745600 has 576 divisors, whose sum is σ = 201213237600. Its totient is φ = 10799308800.

The previous prime is 49880745559. The next prime is 49880745611. The reversal of 49880745600 is 654708894.

49880745600 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 2×49880745600² (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 71 ways as a sum of consecutive naturals, for example, 8934810 + ... + 8940390.

Almost surely, 2^49880745600 is an apocalyptic number.

49880745600 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 49880745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100606618800).

49880745600 is an abundant number, since it is smaller than the sum of its proper divisors (151332492000).

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

49880745600 is a wasteful number, since it uses less digits than its factorization.

49880745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5641 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 49880745600 in words is "forty-nine billion, eight hundred eighty million, seven hundred forty-five thousand, six hundred".