49802591331360 has 672 divisors, whose sum is σ = 212219295442560. Its totient is φ = 10784317169664.

The previous prime is 49802591331349. The next prime is 49802591331391. The reversal of 49802591331360 is 6313319520894.

49802591331360 is a `hidden beast` number, since 4 + 9 + 8 + 0 + 2 + 591 + 33 + 13 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 49802591331297 and 49802591331306.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13907944 + ... + 17118296.

It is an arithmetic number, because the mean of its divisors is an integer number (315802522980).

Almost surely, 2^{49802591331360} is an apocalyptic number.

49802591331360 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 49802591331360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106109647721280).

49802591331360 is an abundant number, since it is smaller than the sum of its proper divisors (162416704111200).

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

49802591331360 is a wasteful number, since it uses less digits than its factorization.

49802591331360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210412 (or 3210389 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 49802591331360 in words is "forty-nine trillion, eight hundred two billion, five hundred ninety-one million, three hundred thirty-one thousand, three hundred sixty".