49615874680320 has 2880 divisors, whose sum is σ = 207048960518400. Its totient is φ = 11347216957440.

The previous prime is 49615874680313. The next prime is 49615874680349. The reversal of 49615874680320 is 2308647851694.

49615874680320 is a `hidden beast` number, since 4 + 9 + 6 + 1 + 587 + 46 + 8 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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, 117852433710 + ... + 117852434130.

It is an arithmetic number, because the mean of its divisors is an integer number (71892000180).

It is a 1-persistent number, because it is pandigital, but 2⋅49615874680320 = 99231749360640 is not.

Almost surely, 2^{49615874680320} is an apocalyptic number.

49615874680320 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 49615874680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103524480259200).

49615874680320 is an abundant number, since it is smaller than the sum of its proper divisors (157433085838080).

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

49615874680320 is a wasteful number, since it uses less digits than its factorization.

49615874680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 49615874680320 in words is "forty-nine trillion, six hundred fifteen billion, eight hundred seventy-four million, six hundred eighty thousand, three hundred twenty".