49351680000 has 1400 divisors, whose sum is σ = 222942223152. Its totient is φ = 10616832000.

The previous prime is 49351679999. The next prime is 49351680011. The reversal of 49351680000 is 8615394.

49351680000 is a `hidden beast` number, since 493 + 5 + 168 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2903039992 + ... + 2903040008.

Almost surely, 2^49351680000 is an apocalyptic number.

49351680000 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 49351680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111471111576).

49351680000 is an abundant number, since it is smaller than the sum of its proper divisors (173590543152).

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

49351680000 is an frugal number, since it uses more digits than its factorization.

49351680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 49351680000 in words is "forty-nine billion, three hundred fifty-one million, six hundred eighty thousand".