49876881600 has 672 divisors, whose sum is σ = 203821954560. Its totient is φ = 10397122560.

The previous prime is 49876881583. The next prime is 49876881619. The reversal of 49876881600 is 618867894.

It is a tau number, because it is divible by the number of its divisors (672).

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, 38874559 + ... + 38875841.

It is an arithmetic number, because the mean of its divisors is an integer number (303306480).

Almost surely, 2^49876881600 is an apocalyptic number.

49876881600 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 49876881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101910977280).

49876881600 is an abundant number, since it is smaller than the sum of its proper divisors (153945072960).

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

49876881600 is a wasteful number, since it uses less digits than its factorization.

49876881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 49876881600 in words is "forty-nine billion, eight hundred seventy-six million, eight hundred eighty-one thousand, six hundred".