20078694720 has 420 divisors, whose sum is σ = 83089676340. Its totient is φ = 4589125632.

The previous prime is 20078694709. The next prime is 20078694731. The reversal of 20078694720 is 2749687002.

It is an interprime number because it is at equal distance from previous prime (20078694709) and next prime (20078694731).

It can be written as a sum of positive squares in 2 ways, for example, as 3301191936 + 16777502784 = 57456^2 + 129528^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1262176 + ... + 1277984.

Almost surely, 2^20078694720 is an apocalyptic number.

20078694720 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 20078694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41544838170).

20078694720 is an abundant number, since it is smaller than the sum of its proper divisors (63010981620).

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

20078694720 is a wasteful number, since it uses less digits than its factorization.

20078694720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15852 (or 15826 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 20078694720 in words is "twenty billion, seventy-eight million, six hundred ninety-four thousand, seven hundred twenty".