263150469120 has 1024 divisors, whose sum is σ = 1114325683200. Its totient is φ = 51338280960.

The previous prime is 263150469107. The next prime is 263150469139. The reversal of 263150469120 is 21964051362.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-4 number, since 4×263150469120⁴ (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 643399476 + ... + 643399884.

It is an arithmetic number, because the mean of its divisors is an integer number (1088208675).

Almost surely, 2^263150469120 is an apocalyptic number.

263150469120 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 263150469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557162841600).

263150469120 is an abundant number, since it is smaller than the sum of its proper divisors (851175214080).

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

263150469120 is a wasteful number, since it uses less digits than its factorization.

263150469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 263150469120 in words is "two hundred sixty-three billion, one hundred fifty million, four hundred sixty-nine thousand, one hundred twenty".