8035879901874 has 96 divisors (see below), whose sum is σ = 17696538780480. Its totient is φ = 2430861840000.

The previous prime is 8035879901849. The next prime is 8035879901897. The reversal of 8035879901874 is 4781099785308.

It is a junction number, because it is equal to n+sod(n) for n = 8035879901799 and 8035879901808.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1199202724 + ... + 1199209424.

It is an arithmetic number, because the mean of its divisors is an integer number (184338945630).

Almost surely, 2^{8035879901874} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8035879901874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848269390240).

8035879901874 is an abundant number, since it is smaller than the sum of its proper divisors (9660658878606).

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

8035879901874 is a wasteful number, since it uses less digits than its factorization.

8035879901874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9368 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 69.

The spelling of 8035879901874 in words is "eight trillion, thirty-five billion, eight hundred seventy-nine million, nine hundred one thousand, eight hundred seventy-four".