86400151200 has 576 divisors, whose sum is σ = 345277900800. Its totient is φ = 20675865600.

The previous prime is 86400151171. The next prime is 86400151213. The reversal of 86400151200 is 215100468.

86400151200 is a `hidden beast` number, since 8 + 6 + 400 + 1 + 51 + 200 = 666.

It is a super-2 number, since 2×86400151200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

86400151200 is a modest number, since divided by 151200 gives 86400 as remainder.

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, 18768099 + ... + 18772701.

It is an arithmetic number, because the mean of its divisors is an integer number (599440800).

Almost surely, 2^86400151200 is an apocalyptic number.

86400151200 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 86400151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172638950400).

86400151200 is an abundant number, since it is smaller than the sum of its proper divisors (258877749600).

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

86400151200 is a wasteful number, since it uses less digits than its factorization.

86400151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4722 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 86400151200 its reverse (215100468), we get a palindrome (86615251668).

The spelling of 86400151200 in words is "eighty-six billion, four hundred million, one hundred fifty-one thousand, two hundred".