86052096000 has 1152 divisors, whose sum is σ = 355771634400. Its totient is φ = 19936051200.

The previous prime is 86052095933. The next prime is 86052096001. The reversal of 86052096000 is 69025068.

It can be written as a sum of positive squares in 16 ways, for example, as 64280503296 + 21771592704 = 253536^2 + 147552^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86052096001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5061887992 + ... + 5061888008.

Almost surely, 2^86052096000 is an apocalyptic number.

86052096000 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 86052096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177885817200).

86052096000 is an abundant number, since it is smaller than the sum of its proper divisors (269719538400).

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

86052096000 is a wasteful number, since it uses less digits than its factorization.

86052096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 86052096000 in words is "eighty-six billion, fifty-two million, ninety-six thousand".