49542979221504 has 768 divisors, whose sum is σ = 155482482355200. Its totient is φ = 15750229524480.

The previous prime is 49542979221451. The next prime is 49542979221521. The reversal of 49542979221504 is 40512297924594.

49542979221504 is a `hidden beast` number, since 4 + 9 + 54 + 2 + 9 + 79 + 2 + 2 + 1 + 504 = 666.

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

It is a congruent number.

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, 61088753259 + ... + 61088754069.

It is an arithmetic number, because the mean of its divisors is an integer number (202451148900).

Almost surely, 2^{49542979221504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49542979221504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77741241177600).

49542979221504 is an abundant number, since it is smaller than the sum of its proper divisors (105939503133696).

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

49542979221504 is an frugal number, since it uses more digits than its factorization.

49542979221504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 49542979221504 in words is "forty-nine trillion, five hundred forty-two billion, nine hundred seventy-nine million, two hundred twenty-one thousand, five hundred four".