85779343104 has 864 divisors, whose sum is σ = 310360436736. Its totient is φ = 20455096320.

The previous prime is 85779343037. The next prime is 85779343109. The reversal of 85779343104 is 40134397758.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85779343109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 626126524 + ... + 626126660.

Almost surely, 2^85779343104 is an apocalyptic number.

85779343104 is a gapful number since it is divisible by the number (84) 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 85779343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155180218368).

85779343104 is an abundant number, since it is smaller than the sum of its proper divisors (224581093632).

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

85779343104 is a wasteful number, since it uses less digits than its factorization.

85779343104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 85779343104 in words is "eighty-five billion, seven hundred seventy-nine million, three hundred forty-three thousand, one hundred four".