86103469670400 has 5400 divisors, whose sum is σ = 419581885873920. Its totient is φ = 16992876625920.

The previous prime is 86103469670399. The next prime is 86103469670423. The reversal of 86103469670400 is 407696430168.

86103469670400 is a `hidden beast` number, since 8 + 6 + 103 + 4 + 69 + 6 + 70 + 400 = 666.

86103469670400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1089917337561 + ... + 1089917337639.

Almost surely, 2^{86103469670400} is an apocalyptic number.

86103469670400 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 86103469670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209790942936960).

86103469670400 is an abundant number, since it is smaller than the sum of its proper divisors (333478416203520).

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

86103469670400 is a wasteful number, since it uses less digits than its factorization.

86103469670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 86103469670400 in words is "eighty-six trillion, one hundred three billion, four hundred sixty-nine million, six hundred seventy thousand, four hundred".