49309857717120 has 7680 divisors, whose sum is σ = 258687688089600. Its totient is φ = 8778792960000.

The previous prime is 49309857717097. The next prime is 49309857717157. The reversal of 49309857717120 is 2171775890394.

49309857717120 is a `hidden beast` number, since 4 + 9 + 30 + 9 + 8 + 577 + 1 + 7 + 1 + 20 = 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 959 ways as a sum of consecutive naturals, for example, 326555349045 + ... + 326555349195.

It is an arithmetic number, because the mean of its divisors is an integer number (33683292720).

Almost surely, 2^{49309857717120} is an apocalyptic number.

49309857717120 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 49309857717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129343844044800).

49309857717120 is an abundant number, since it is smaller than the sum of its proper divisors (209377830372480).

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

49309857717120 is a wasteful number, since it uses less digits than its factorization.

49309857717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 49309857717120 in words is "forty-nine trillion, three hundred nine billion, eight hundred fifty-seven million, seven hundred seventeen thousand, one hundred twenty".