1020880713600 has 1728 divisors, whose sum is σ = 4283534586240. Its totient is φ = 238049280000.

The previous prime is 1020880713581. The next prime is 1020880713661. The reversal of 1020880713600 is 63170880201.

1020880713600 is a `hidden beast` number, since 10 + 20 + 8 + 8 + 0 + 7 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 14378601565 + ... + 14378601635.

It is an arithmetic number, because the mean of its divisors is an integer number (2478897330).

Almost surely, 2^{1020880713600} is an apocalyptic number.

1020880713600 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 1020880713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141767293120).

1020880713600 is an abundant number, since it is smaller than the sum of its proper divisors (3262653872640).

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

1020880713600 is an equidigital number, since it uses as much as digits as its factorization.

1020880713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1020880713600 in words is "one trillion, twenty billion, eight hundred eighty million, seven hundred thirteen thousand, six hundred".