79891195440 has 240 divisors, whose sum is σ = 303261304320. Its totient is φ = 17299699200.

The previous prime is 79891195429. The next prime is 79891195453. The reversal of 79891195440 is 4459119897.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (57).

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 47 ways as a sum of consecutive naturals, for example, 44665 + ... + 402215.

It is an arithmetic number, because the mean of its divisors is an integer number (1263588768).

Almost surely, 2^79891195440 is an apocalyptic number.

79891195440 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 79891195440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151630652160).

79891195440 is an abundant number, since it is smaller than the sum of its proper divisors (223370108880).

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

79891195440 is a wasteful number, since it uses less digits than its factorization.

79891195440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357600 (or 357587 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 79891195440 in words is "seventy-nine billion, eight hundred ninety-one million, one hundred ninety-five thousand, four hundred forty".