49829499596160 has 1152 divisors, whose sum is σ = 182618380470240. Its totient is φ = 12997271715840.

The previous prime is 49829499596147. The next prime is 49829499596179. The reversal of 49829499596160 is 6169599492894.

49829499596160 is a `hidden beast` number, since 4 + 9 + 8 + 2 + 9 + 4 + 9 + 9 + 596 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 49829499596160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58144106452 + ... + 58144107308.

Almost surely, 2^{49829499596160} is an apocalyptic number.

49829499596160 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 49829499596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91309190235120).

49829499596160 is an abundant number, since it is smaller than the sum of its proper divisors (132788880874080).

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

49829499596160 is an frugal number, since it uses more digits than its factorization.

49829499596160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 2720977920, while the sum is 81.

The spelling of 49829499596160 in words is "forty-nine trillion, eight hundred twenty-nine billion, four hundred ninety-nine million, five hundred ninety-six thousand, one hundred sixty".