86899760640 has 1440 divisors, whose sum is σ = 389524943808. Its totient is φ = 17517772800.

The previous prime is 86899760639. The next prime is 86899760669. The reversal of 86899760640 is 4606799868.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1190407644 + ... + 1190407716.

Almost surely, 2^86899760640 is an apocalyptic number.

86899760640 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 86899760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194762471904).

86899760640 is an abundant number, since it is smaller than the sum of its proper divisors (302625183168).

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

86899760640 is a wasteful number, since it uses less digits than its factorization.

86899760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 86899760640 in words is "eighty-six billion, eight hundred ninety-nine million, seven hundred sixty thousand, six hundred forty".