1020861620800 has 504 divisors, whose sum is σ = 2956985330112. Its totient is φ = 339755520000.

The previous prime is 1020861620759. The next prime is 1020861620819. The reversal of 1020861620800 is 80261680201.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7792836735 + ... + 7792836865.

Almost surely, 2^{1020861620800} is an apocalyptic number.

1020861620800 is a gapful number since it is divisible by the number (10) 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 1020861620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478492665056).

1020861620800 is an abundant number, since it is smaller than the sum of its proper divisors (1936123709312).

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

1020861620800 is a wasteful number, since it uses less digits than its factorization.

1020861620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 1020861620800 in words is "one trillion, twenty billion, eight hundred sixty-one million, six hundred twenty thousand, eight hundred".