49692991518720 has 4608 divisors, whose sum is σ = 223612316928000. Its totient is φ = 10391283302400.

The previous prime is 49692991518719. The next prime is 49692991518761. The reversal of 49692991518720 is 2781519929694.

49692991518720 is a `hidden beast` number, since 4 + 9 + 69 + 29 + 9 + 1 + 518 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×49692991518720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 379335813055 + ... + 379335813185.

It is an arithmetic number, because the mean of its divisors is an integer number (48526978500).

Almost surely, 2^{49692991518720} is an apocalyptic number.

49692991518720 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 49692991518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111806158464000).

49692991518720 is an abundant number, since it is smaller than the sum of its proper divisors (173919325409280).

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

49692991518720 is a wasteful number, since it uses less digits than its factorization.

49692991518720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 49692991518720 in words is "forty-nine trillion, six hundred ninety-two billion, nine hundred ninety-one million, five hundred eighteen thousand, seven hundred twenty".