86788285507040 has 384 divisors, whose sum is σ = 236935438346880. Its totient is φ = 29756675063808.

The previous prime is 86788285507019. The next prime is 86788285507067. The reversal of 86788285507040 is 4070558288768.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1469638154 + ... + 1469697206.

It is an arithmetic number, because the mean of its divisors is an integer number (617019370695).

Almost surely, 2^{86788285507040} is an apocalyptic number.

86788285507040 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 86788285507040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118467719173440).

86788285507040 is an abundant number, since it is smaller than the sum of its proper divisors (150147152839840).

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

86788285507040 is a wasteful number, since it uses less digits than its factorization.

86788285507040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59654 (or 59646 counting only the distinct ones).

The product of its (nonzero) digits is 240844800, while the sum is 68.

The spelling of 86788285507040 in words is "eighty-six trillion, seven hundred eighty-eight billion, two hundred eighty-five million, five hundred seven thousand, forty".