86490892800 has 1680 divisors, whose sum is σ = 372689146368. Its totient is φ = 19707494400.

The previous prime is 86490892799. The next prime is 86490892837. The reversal of 86490892800 is 829809468.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2790028785 + ... + 2790028815.

Almost surely, 2^86490892800 is an apocalyptic number.

86490892800 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 86490892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186344573184).

86490892800 is an abundant number, since it is smaller than the sum of its proper divisors (286198253568).

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

86490892800 is a wasteful number, since it uses less digits than its factorization.

86490892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 86490892800 in words is "eighty-six billion, four hundred ninety million, eight hundred ninety-two thousand, eight hundred".