20077375866345 has 96 divisors (see below), whose sum is σ = 42268426836480. Its totient is φ = 8606219765760.

The previous prime is 20077375866319. The next prime is 20077375866391. The reversal of 20077375866345 is 54366857377002.

20077375866345 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 7 + 3 + 7 + 586 + 6 + 3 + 45 = 666.

It is not a de Polignac number, because 20077375866345 - 2⁵ = 20077375866313 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5528421 + ... + 8409410.

It is an arithmetic number, because the mean of its divisors is an integer number (440296112880).

Almost surely, 2^{20077375866345} is an apocalyptic number.

It is an amenable number.

20077375866345 is an abundant number, since it is smaller than the sum of its proper divisors (22191050970135).

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

20077375866345 is a wasteful number, since it uses less digits than its factorization.

20077375866345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13938135 (or 13938132 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 63.

The spelling of 20077375866345 in words is "twenty trillion, seventy-seven billion, three hundred seventy-five million, eight hundred sixty-six thousand, three hundred forty-five".