86252828400 has 480 divisors, whose sum is σ = 313356729600. Its totient is φ = 22529664000.

The previous prime is 86252828341. The next prime is 86252828419. The reversal of 86252828400 is 482825268.

86252828400 is a `hidden beast` number, since 8 + 62 + 528 + 28 + 40 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 116715231 + ... + 116715969.

It is an arithmetic number, because the mean of its divisors is an integer number (652826520).

Almost surely, 2^86252828400 is an apocalyptic number.

86252828400 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 86252828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156678364800).

86252828400 is an abundant number, since it is smaller than the sum of its proper divisors (227103901200).

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

86252828400 is a wasteful number, since it uses less digits than its factorization.

86252828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 86252828400 in words is "eighty-six billion, two hundred fifty-two million, eight hundred twenty-eight thousand, four hundred".