86700211520 has 224 divisors, whose sum is σ = 230947264800. Its totient is φ = 30792351744.

The previous prime is 86700211501. The next prime is 86700211541. The reversal of 86700211520 is 2511200768.

It can be written as a sum of positive squares in 16 ways, for example, as 16999987456 + 69700224064 = 130384^2 + 264008^2 .

It is a super-2 number, since 2×86700211520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13695716 + ... + 13702044.

It is an arithmetic number, because the mean of its divisors is an integer number (1031014575).

Almost surely, 2^86700211520 is an apocalyptic number.

86700211520 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 86700211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115473632400).

86700211520 is an abundant number, since it is smaller than the sum of its proper divisors (144247053280).

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

86700211520 is a wasteful number, since it uses less digits than its factorization.

86700211520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6485 (or 6475 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 86700211520 in words is "eighty-six billion, seven hundred million, two hundred eleven thousand, five hundred twenty".