263011215122640 has 240 divisors, whose sum is σ = 890415844845696. Its totient is φ = 69570997632000.

The previous prime is 263011215122627. The next prime is 263011215122641. The reversal of 263011215122640 is 46221512110362.

263011215122640 is a `hidden beast` number, since 2 + 6 + 3 + 0 + 1 + 1 + 2 + 1 + 5 + 1 + 2 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×263011215122640⁴ (a number of 59 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 263011215122595 and 263011215122604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263011215122641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73375042 + ... + 76875998.

Almost surely, 2^{263011215122640} is an apocalyptic number.

263011215122640 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 263011215122640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445207922422848).

263011215122640 is an abundant number, since it is smaller than the sum of its proper divisors (627404629723056).

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

263011215122640 is a wasteful number, since it uses less digits than its factorization.

263011215122640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501818 (or 3501809 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 263011215122640 in words is "two hundred sixty-three trillion, eleven billion, two hundred fifteen million, one hundred twenty-two thousand, six hundred forty".