1020030713856 has 1920 divisors, whose sum is σ = 4165584952320. Its totient is φ = 245248819200.

The previous prime is 1020030713843. The next prime is 1020030713861. The reversal of 1020030713856 is 6583170300201.

1020030713856 is a `hidden beast` number, since 1 + 0 + 200 + 3 + 0 + 71 + 385 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1020030713856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32904216561 + ... + 32904216591.

It is an arithmetic number, because the mean of its divisors is an integer number (2169575496).

Almost surely, 2^{1020030713856} is an apocalyptic number.

1020030713856 is a gapful number since it is divisible by the number (16) 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 1020030713856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082792476160).

1020030713856 is an abundant number, since it is smaller than the sum of its proper divisors (3145554238464).

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

1020030713856 is an equidigital number, since it uses as much as digits as its factorization.

1020030713856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1020030713856 in words is "one trillion, twenty billion, thirty million, seven hundred thirteen thousand, eight hundred fifty-six".