49691952000 has 768 divisors, whose sum is σ = 193021470720. Its totient is φ = 12204441600.

The previous prime is 49691951993. The next prime is 49691952001. The reversal of 49691952000 is 25919694.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49691952001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129743809 + ... + 129744191.

It is an arithmetic number, because the mean of its divisors is an integer number (251330040).

Almost surely, 2^49691952000 is an apocalyptic number.

49691952000 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 49691952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96510735360).

49691952000 is an abundant number, since it is smaller than the sum of its proper divisors (143329518720).

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

49691952000 is a wasteful number, since it uses less digits than its factorization.

49691952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 49691952000 in words is "forty-nine billion, six hundred ninety-one million, nine hundred fifty-two thousand".