793192055040 has 2160 divisors, whose sum is σ = 3654995769600. Its totient is φ = 162732810240.

The previous prime is 793192054987. The next prime is 793192055059. The reversal of 793192055040 is 40550291397.

It is a happy number.

793192055040 is a `hidden beast` number, since 7 + 9 + 3 + 1 + 92 + 0 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10040405721 + ... + 10040405799.

Almost surely, 2^793192055040 is an apocalyptic number.

793192055040 is a gapful number since it is divisible by the number (70) 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 793192055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827497884800).

793192055040 is an abundant number, since it is smaller than the sum of its proper divisors (2861803714560).

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

793192055040 is an equidigital number, since it uses as much as digits as its factorization.

793192055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 793192055040 in words is "seven hundred ninety-three billion, one hundred ninety-two million, fifty-five thousand, forty".