49924284284160 has 2304 divisors, whose sum is σ = 215938075852800. Its totient is φ = 10756708761600.

The previous prime is 49924284284141. The next prime is 49924284284197. The reversal of 49924284284160 is 6148248242994.

49924284284160 is a `hidden beast` number, since 4 + 9 + 9 + 2 + 42 + 8 + 428 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×49924284284160² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35083825209 + ... + 35083826631.

It is an arithmetic number, because the mean of its divisors is an integer number (93723123200).

Almost surely, 2^{49924284284160} is an apocalyptic number.

49924284284160 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 49924284284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107969037926400).

49924284284160 is an abundant number, since it is smaller than the sum of its proper divisors (166013791568640).

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

49924284284160 is a wasteful number, since it uses less digits than its factorization.

49924284284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 49924284284160 in words is "forty-nine trillion, nine hundred twenty-four billion, two hundred eighty-four million, two hundred eighty-four thousand, one hundred sixty".