1023807516160 has 480 divisors, whose sum is σ = 2967762872448. Its totient is φ = 335596584960.

The previous prime is 1023807516103. The next prime is 1023807516167. The reversal of 1023807516160 is 616157083201.

It is a happy number.

It is a super-2 number, since 2×1023807516160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023807516167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204636219 + ... + 204641221.

Almost surely, 2^{1023807516160} is an apocalyptic number.

1023807516160 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 1023807516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483881436224).

1023807516160 is an abundant number, since it is smaller than the sum of its proper divisors (1943955356288).

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

1023807516160 is a wasteful number, since it uses less digits than its factorization.

1023807516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 1023807516160 in words is "one trillion, twenty-three billion, eight hundred seven million, five hundred sixteen thousand, one hundred sixty".