8015426020800 has 840 divisors, whose sum is σ = 32181743510400. Its totient is φ = 1940678092800.

The previous prime is 8015426020781. The next prime is 8015426020807. The reversal of 8015426020800 is 80206245108.

8015426020800 is a `hidden beast` number, since 8 + 0 + 1 + 5 + 42 + 602 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8015426020807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1293016101 + ... + 1293022299.

Almost surely, 2^{8015426020800} is an apocalyptic number.

8015426020800 is a gapful number since it is divisible by the number (80) 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 8015426020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16090871755200).

8015426020800 is an abundant number, since it is smaller than the sum of its proper divisors (24166317489600).

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

8015426020800 is a wasteful number, since it uses less digits than its factorization.

8015426020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7151 (or 7127 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 8015426020800 in words is "eight trillion, fifteen billion, four hundred twenty-six million, twenty thousand, eight hundred".