86069280515400 has 1536 divisors, whose sum is σ = 370047782092800. Its totient is φ = 17904034713600.

The previous prime is 86069280515333. The next prime is 86069280515453. The reversal of 86069280515400 is 451508296068.

86069280515400 is a `hidden beast` number, since 8 + 6 + 0 + 6 + 9 + 2 + 80 + 515 + 40 + 0 = 666.

It is a super-2 number, since 2×86069280515400² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10172467170 + ... + 10172475630.

It is an arithmetic number, because the mean of its divisors is an integer number (240916524800).

Almost surely, 2^{86069280515400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86069280515400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185023891046400).

86069280515400 is an abundant number, since it is smaller than the sum of its proper divisors (283978501577400).

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

86069280515400 is a wasteful number, since it uses less digits than its factorization.

86069280515400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8796 (or 8781 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 86069280515400 in words is "eighty-six trillion, sixty-nine billion, two hundred eighty million, five hundred fifteen thousand, four hundred".