1023867087360 has 1280 divisors, whose sum is σ = 4001983856640. Its totient is φ = 220723937280.

The previous prime is 1023867087349. The next prime is 1023867087401. The reversal of 1023867087360 is 637807683201.

1023867087360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1352532102 + ... + 1352532858.

It is an arithmetic number, because the mean of its divisors is an integer number (3126549888).

Almost surely, 2^{1023867087360} is an apocalyptic number.

1023867087360 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 1023867087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000991928320).

1023867087360 is an abundant number, since it is smaller than the sum of its proper divisors (2978116769280).

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

1023867087360 is a wasteful number, since it uses less digits than its factorization.

1023867087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 1023867087360 in words is "one trillion, twenty-three billion, eight hundred sixty-seven million, eighty-seven thousand, three hundred sixty".