71794680100752 has 160 divisors (see below), whose sum is σ = 212517797990400. Its totient is φ = 20459362235904.

The previous prime is 71794680100733. The next prime is 71794680100757. The reversal of 71794680100752 is 25700108649717.

It is a junction number, because it is equal to n+sod(n) for n = 71794680100692 and 71794680100701.

It is not an unprimeable number, because it can be changed into a prime (71794680100757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199690333 + ... + 200049539.

It is an arithmetic number, because the mean of its divisors is an integer number (1328236237440).

Almost surely, 2^{71794680100752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71794680100752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106258898995200).

71794680100752 is an abundant number, since it is smaller than the sum of its proper divisors (140723117889648).

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

71794680100752 is a wasteful number, since it uses less digits than its factorization.

71794680100752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360773 (or 360767 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 57.

The spelling of 71794680100752 in words is "seventy-one trillion, seven hundred ninety-four billion, six hundred eighty million, one hundred thousand, seven hundred fifty-two".