87793344425745 has 288 divisors, whose sum is σ = 186658682266368. Its totient is φ = 37383012089856.

The previous prime is 87793344425737. The next prime is 87793344425753. The reversal of 87793344425745 is 54752444339778.

87793344425745 is a `hidden beast` number, since 8 + 7 + 7 + 9 + 3 + 3 + 4 + 4 + 42 + 574 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (87793344425737) and next prime (87793344425753).

It is not a de Polignac number, because 87793344425745 - 2³ = 87793344425737 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11231075077 + ... + 11231082893.

It is an arithmetic number, because the mean of its divisors is an integer number (648120424536).

Almost surely, 2^{87793344425745} is an apocalyptic number.

87793344425745 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87793344425745 is an abundant number, since it is smaller than the sum of its proper divisors (98865337840623).

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

87793344425745 is a wasteful number, since it uses less digits than its factorization.

87793344425745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9129 (or 9109 counting only the distinct ones).

The product of its digits is 2844979200, while the sum is 72.

The spelling of 87793344425745 in words is "eighty-seven trillion, seven hundred ninety-three billion, three hundred forty-four million, four hundred twenty-five thousand, seven hundred forty-five".