49966721925120 has 5184 divisors, whose sum is σ = 252003560417280. Its totient is φ = 9274864435200.

The previous prime is 49966721925067. The next prime is 49966721925139. The reversal of 49966721925120 is 2152912766994.

49966721925120 is a `hidden beast` number, since 4 + 9 + 9 + 6 + 6 + 7 + 21 + 92 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1611829739505 + ... + 1611829739535.

It is an arithmetic number, because the mean of its divisors is an integer number (48611797920).

Almost surely, 2^{49966721925120} is an apocalyptic number.

49966721925120 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 49966721925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126001780208640).

49966721925120 is an abundant number, since it is smaller than the sum of its proper divisors (202036838492160).

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

49966721925120 is a wasteful number, since it uses less digits than its factorization.

49966721925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 49966721925120 in words is "forty-nine trillion, nine hundred sixty-six billion, seven hundred twenty-one million, nine hundred twenty-five thousand, one hundred twenty".