1020663521280 has 1344 divisors, whose sum is σ = 4052456939520. Its totient is φ = 243465191424.

The previous prime is 1020663521261. The next prime is 1020663521287. The reversal of 1020663521280 is 821253660201.

1020663521280 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 635 + 2 + 12 + 8 + 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 (1020663521287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8036720577 + ... + 8036720703.

Almost surely, 2^{1020663521280} is an apocalyptic number.

1020663521280 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 1020663521280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026228469760).

1020663521280 is an abundant number, since it is smaller than the sum of its proper divisors (3031793418240).

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

1020663521280 is a wasteful number, since it uses less digits than its factorization.

1020663521280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1020663521280 in words is "one trillion, twenty billion, six hundred sixty-three million, five hundred twenty-one thousand, two hundred eighty".