263151042000 has 960 divisors, whose sum is σ = 1086977428992. Its totient is φ = 53594112000.

The previous prime is 263151041983. The next prime is 263151042013. The reversal of 263151042000 is 240151362.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 269345512 + ... + 269346488.

Almost surely, 2^263151042000 is an apocalyptic number.

263151042000 is a gapful number since it is divisible by the number (20) 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 263151042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543488714496).

263151042000 is an abundant number, since it is smaller than the sum of its proper divisors (823826386992).

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

263151042000 is a wasteful number, since it uses less digits than its factorization.

263151042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 263151042000 its reverse (240151362), we get a palindrome (263391193362).

The spelling of 263151042000 in words is "two hundred sixty-three billion, one hundred fifty-one million, forty-two thousand".