49792594168800 has 1080 divisors, whose sum is σ = 211343744947104. Its totient is φ = 11375051304960.

The previous prime is 49792594168781. The next prime is 49792594168819. The reversal of 49792594168800 is 886149529794.

49792594168800 is a `hidden beast` number, since 49 + 7 + 92 + 5 + 9 + 416 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49792594168781) and next prime (49792594168819).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 8817527577 + ... + 8817533223.

Almost surely, 2^{49792594168800} is an apocalyptic number.

49792594168800 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 49792594168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105671872473552).

49792594168800 is an abundant number, since it is smaller than the sum of its proper divisors (161551150778304).

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

49792594168800 is a wasteful number, since it uses less digits than its factorization.

49792594168800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8470 (or 8441 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 49792594168800 in words is "forty-nine trillion, seven hundred ninety-two billion, five hundred ninety-four million, one hundred sixty-eight thousand, eight hundred".