49778168160 has 768 divisors, whose sum is σ = 192631799808. Its totient is φ = 10567065600.

The previous prime is 49778168159. The next prime is 49778168201. The reversal of 49778168160 is 6186187794.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 49778168160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 391954017 + ... + 391954143.

It is an arithmetic number, because the mean of its divisors is an integer number (250822656).

Almost surely, 2^49778168160 is an apocalyptic number.

49778168160 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 49778168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96315899904).

49778168160 is an abundant number, since it is smaller than the sum of its proper divisors (142853631648).

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

49778168160 is a wasteful number, since it uses less digits than its factorization.

49778168160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 49778168160 in words is "forty-nine billion, seven hundred seventy-eight million, one hundred sixty-eight thousand, one hundred sixty".