49539168000 has 576 divisors, whose sum is σ = 208970711040. Its totient is φ = 11321856000.

The previous prime is 49539167983. The next prime is 49539168001. The reversal of 49539168000 is 86193594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×49539168000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49539168001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6043905 + ... + 6052095.

Almost surely, 2^49539168000 is an apocalyptic number.

49539168000 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 49539168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104485355520).

49539168000 is an abundant number, since it is smaller than the sum of its proper divisors (159431543040).

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

49539168000 is an equidigital number, since it uses as much as digits as its factorization.

49539168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8238 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

It can be divided in two parts, 495391 and 68000, that added together give a triangular number (563391 = T₁₀₆₁).

The spelling of 49539168000 in words is "forty-nine billion, five hundred thirty-nine million, one hundred sixty-eight thousand".