49925376000 has 768 divisors, whose sum is σ = 191339366400. Its totient is φ = 12828672000.

The previous prime is 49925375987. The next prime is 49925376077. The reversal of 49925376000 is 67352994.

It is a happy number.

49925376000 is a `hidden beast` number, since 4 + 9 + 9 + 2 + 5 + 37 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214271884 + ... + 214272116.

It is an arithmetic number, because the mean of its divisors is an integer number (249139800).

Almost surely, 2^49925376000 is an apocalyptic number.

49925376000 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 49925376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95669683200).

49925376000 is an abundant number, since it is smaller than the sum of its proper divisors (141413990400).

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

49925376000 is a wasteful number, since it uses less digits than its factorization.

49925376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 49925376000 in words is "forty-nine billion, nine hundred twenty-five million, three hundred seventy-six thousand".