1020733868700 has 432 divisors, whose sum is σ = 4083616409600. Its totient is φ = 215363162880.

The previous prime is 1020733868681. The next prime is 1020733868701. The reversal of 1020733868700 is 78683370201.

It is a super-2 number, since 2×1020733868700² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020733868701) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1980501 + ... + 2442099.

Almost surely, 2^{1020733868700} is an apocalyptic number.

1020733868700 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 1020733868700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041808204800).

1020733868700 is an abundant number, since it is smaller than the sum of its proper divisors (3062882540900).

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

1020733868700 is a wasteful number, since it uses less digits than its factorization.

1020733868700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461648 (or 461629 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1020733868700 in words is "one trillion, twenty billion, seven hundred thirty-three million, eight hundred sixty-eight thousand, seven hundred".