1086764442624 has 1056 divisors, whose sum is σ = 3915933926400. Its totient is φ = 296528117760.

The previous prime is 1086764442607. The next prime is 1086764442629. The reversal of 1086764442624 is 4262444676801.

1086764442624 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 7 + 6 + 4 + 4 + 4 + 2 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1086764442629) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4745696142 + ... + 4745696370.

Almost surely, 2^{1086764442624} is an apocalyptic number.

1086764442624 is a gapful number since it is divisible by the number (14) 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 1086764442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957966963200).

1086764442624 is an abundant number, since it is smaller than the sum of its proper divisors (2829169483776).

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

1086764442624 is a wasteful number, since it uses less digits than its factorization.

1086764442624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 1086764442624 in words is "one trillion, eighty-six billion, seven hundred sixty-four million, four hundred forty-two thousand, six hundred twenty-four".