86757120000 has 720 divisors, whose sum is σ = 332279667720. Its totient is φ = 21725184000.

The previous prime is 86757119993. The next prime is 86757120061. The reversal of 86757120000 is 2175768.

86757120000 is a `hidden beast` number, since 8 + 67 + 571 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 59 ways as a sum of consecutive naturals, for example, 195839779 + ... + 195840221.

Almost surely, 2^86757120000 is an apocalyptic number.

86757120000 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 86757120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166139833860).

86757120000 is an abundant number, since it is smaller than the sum of its proper divisors (245522547720).

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

86757120000 is a wasteful number, since it uses less digits than its factorization.

86757120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Adding to 86757120000 its reverse (2175768), we get a palindrome (86759295768).

The spelling of 86757120000 in words is "eighty-six billion, seven hundred fifty-seven million, one hundred twenty thousand".