86154361600 has 108 divisors (see below), whose sum is σ = 214926632704. Its totient is φ = 34190069760.

The previous prime is 86154361597. The next prime is 86154361609. The reversal of 86154361600 is 616345168.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (86154361609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 759802 + ... + 865798.

Almost surely, 2^86154361600 is an apocalyptic number.

86154361600 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 86154361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107463316352).

86154361600 is an abundant number, since it is smaller than the sum of its proper divisors (128772271104).

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

86154361600 is a wasteful number, since it uses less digits than its factorization.

86154361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106150 (or 106131 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 86154361600 in words is "eighty-six billion, one hundred fifty-four million, three hundred sixty-one thousand, six hundred".