20070986817024 has 1280 divisors, whose sum is σ = 71185793817600. Its totient is φ = 5572562780160.

The previous prime is 20070986817023. The next prime is 20070986817061. The reversal of 20070986817024 is 42071868907002.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20070986817023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26100112512 + ... + 26100113280.

It is an arithmetic number, because the mean of its divisors is an integer number (55613901420).

Almost surely, 2^{20070986817024} is an apocalyptic number.

20070986817024 is a gapful number since it is divisible by the number (24) 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 20070986817024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35592896908800).

20070986817024 is an abundant number, since it is smaller than the sum of its proper divisors (51114807000576).

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

20070986817024 is an equidigital number, since it uses as much as digits as its factorization.

20070986817024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 20070986817024 in words is "twenty trillion, seventy billion, nine hundred eighty-six million, eight hundred seventeen thousand, twenty-four".