860969894400 has 2160 divisors, whose sum is σ = 4008679481664. Its totient is φ = 171417600000.

The previous prime is 860969894399. The next prime is 860969894441. The reversal of 860969894400 is 4498969068.

860969894400 is a `hidden beast` number, since 8 + 60 + 96 + 9 + 89 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8524454350 + ... + 8524454450.

Almost surely, 2^860969894400 is an apocalyptic number.

860969894400 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 860969894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004339740832).

860969894400 is an abundant number, since it is smaller than the sum of its proper divisors (3147709587264).

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

860969894400 is a wasteful number, since it uses less digits than its factorization.

860969894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 860969894400 in words is "eight hundred sixty billion, nine hundred sixty-nine million, eight hundred ninety-four thousand, four hundred".