86819372640 has 1536 divisors, whose sum is σ = 432355553280. Its totient is φ = 15659827200.

The previous prime is 86819372621. The next prime is 86819372677. The reversal of 86819372640 is 4627391868.

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

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 73512850 + ... + 73514030.

It is an arithmetic number, because the mean of its divisors is an integer number (281481480).

Almost surely, 2^86819372640 is an apocalyptic number.

86819372640 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 86819372640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216177776640).

86819372640 is an abundant number, since it is smaller than the sum of its proper divisors (345536180640).

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

86819372640 is a wasteful number, since it uses less digits than its factorization.

86819372640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 86819372640 in words is "eighty-six billion, eight hundred nineteen million, three hundred seventy-two thousand, six hundred forty".