85769510400 has 1440 divisors, whose sum is σ = 374881148928. Its totient is φ = 18314035200.

The previous prime is 85769510371. The next prime is 85769510417. The reversal of 85769510400 is 401596758.

85769510400 is a `hidden beast` number, since 85 + 76 + 95 + 10 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1174924764 + ... + 1174924836.

Almost surely, 2^85769510400 is an apocalyptic number.

85769510400 is a gapful number since it is divisible by the number (80) 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 85769510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187440574464).

85769510400 is an abundant number, since it is smaller than the sum of its proper divisors (289111638528).

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

85769510400 is a wasteful number, since it uses less digits than its factorization.

85769510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 85769510400 in words is "eighty-five billion, seven hundred sixty-nine million, five hundred ten thousand, four hundred".