1023311977800 has 576 divisors, whose sum is σ = 3779718082560. Its totient is φ = 224114688000.

The previous prime is 1023311977777. The next prime is 1023311977813. The reversal of 1023311977800 is 87791133201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4849819695 + ... + 4849819905.

It is an arithmetic number, because the mean of its divisors is an integer number (6562010560).

Almost surely, 2^{1023311977800} is an apocalyptic number.

1023311977800 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 1023311977800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889859041280).

1023311977800 is an abundant number, since it is smaller than the sum of its proper divisors (2756406104760).

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

1023311977800 is a wasteful number, since it uses less digits than its factorization.

1023311977800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 1023311977800 in words is "one trillion, twenty-three billion, three hundred eleven million, nine hundred seventy-seven thousand, eight hundred".