49891449600 has 324 divisors, whose sum is σ = 184133756352. Its totient is φ = 12874752000.

The previous prime is 49891449599. The next prime is 49891449613. The reversal of 49891449600 is 694419894.

It is a happy number.

49891449600 is a `hidden beast` number, since 498 + 9 + 144 + 9 + 6 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1771630 + ... + 1799570.

Almost surely, 2^49891449600 is an apocalyptic number.

49891449600 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 49891449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92066878176).

49891449600 is an abundant number, since it is smaller than the sum of its proper divisors (134242306752).

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

49891449600 is a wasteful number, since it uses less digits than its factorization.

49891449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28004 (or 27982 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 49891449600 in words is "forty-nine billion, eight hundred ninety-one million, four hundred forty-nine thousand, six hundred".