49725849600 has 1080 divisors, whose sum is σ = 212971868928. Its totient is φ = 10852761600.

The previous prime is 49725849571. The next prime is 49725849611. The reversal of 49725849600 is 694852794.

49725849600 is a `hidden beast` number, since 4 + 9 + 7 + 25 + 8 + 4 + 9 + 600 = 666.

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, 1057996777 + ... + 1057996823.

Almost surely, 2^49725849600 is an apocalyptic number.

49725849600 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 49725849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106485934464).

49725849600 is an abundant number, since it is smaller than the sum of its proper divisors (163246019328).

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

49725849600 is a wasteful number, since it uses less digits than its factorization.

49725849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 49725849600 in words is "forty-nine billion, seven hundred twenty-five million, eight hundred forty-nine thousand, six hundred".