86897205410400 has 6912 divisors, whose sum is σ = 432999006289920. Its totient is φ = 16422912000000.

The previous prime is 86897205410377. The next prime is 86897205410401. The reversal of 86897205410400 is 401450279868.

It is a happy number.

86897205410400 is a `hidden beast` number, since 8 + 6 + 8 + 97 + 2 + 0 + 541 + 0 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×86897205410400² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86897205410401) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 860368370350 + ... + 860368370450.

It is an arithmetic number, because the mean of its divisors is an integer number (62644532160).

Almost surely, 2^{86897205410400} is an apocalyptic number.

86897205410400 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 86897205410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216499503144960).

86897205410400 is an abundant number, since it is smaller than the sum of its proper divisors (346101800879520).

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

86897205410400 is a wasteful number, since it uses less digits than its factorization.

86897205410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 86897205410400 in words is "eighty-six trillion, eight hundred ninety-seven billion, two hundred five million, four hundred ten thousand, four hundred".