86961600000 has 1200 divisors, whose sum is σ = 359721320112. Its totient is φ = 20736000000.

The previous prime is 86961599987. The next prime is 86961600031. The reversal of 86961600000 is 616968.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1425599970 + ... + 1425600030.

Almost surely, 2^86961600000 is an apocalyptic number.

86961600000 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 86961600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179860660056).

86961600000 is an abundant number, since it is smaller than the sum of its proper divisors (272759720112).

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

86961600000 is an frugal number, since it uses more digits than its factorization.

86961600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 86961600000 in words is "eighty-six billion, nine hundred sixty-one million, six hundred thousand".