11079862020864 has 576 divisors, whose sum is σ = 41716908441600. Its totient is φ = 2821392580608.

The previous prime is 11079862020833. The next prime is 11079862020949. The reversal of 11079862020864 is 46802026897011.

It is a happy number.

11079862020864 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 9 + 8 + 620 + 2 + 0 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11079862020864.

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, 17937057 + ... + 18544479.

Almost surely, 2^{11079862020864} is an apocalyptic number.

11079862020864 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 11079862020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20858454220800).

11079862020864 is an abundant number, since it is smaller than the sum of its proper divisors (30637046420736).

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

11079862020864 is a wasteful number, since it uses less digits than its factorization.

11079862020864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607497 (or 607477 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 11079862020864 in words is "eleven trillion, seventy-nine billion, eight hundred sixty-two million, twenty thousand, eight hundred sixty-four".