20763086400000 has 1680 divisors, whose sum is σ = 88886361408768. Its totient is φ = 4743982080000.

The previous prime is 20763086399987. The next prime is 20763086400073. The reversal of 20763086400000 is 468036702.

20763086400000 is a `hidden beast` number, since 2 + 0 + 7 + 6 + 3 + 0 + 8 + 640 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×20763086400000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 8164798729 + ... + 8164801271.

Almost surely, 2^{20763086400000} is an apocalyptic number.

20763086400000 is a gapful number since it is divisible by the number (20) 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 20763086400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44443180704384).

20763086400000 is an abundant number, since it is smaller than the sum of its proper divisors (68123275008768).

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

20763086400000 is an frugal number, since it uses more digits than its factorization.

20763086400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20763086400000 in words is "twenty trillion, seven hundred sixty-three billion, eighty-six million, four hundred thousand".