263606400540 has 768 divisors, whose sum is σ = 989356032000. Its totient is φ = 58213354752.

The previous prime is 263606400529. The next prime is 263606400571. The reversal of 263606400540 is 45004606362.

263606400540 is a `hidden beast` number, since 2 + 6 + 3 + 6 + 0 + 640 + 0 + 5 + 4 + 0 = 666.

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 = 263606400495 and 263606400504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 931471239 + ... + 931471521.

It is an arithmetic number, because the mean of its divisors is an integer number (1288224000).

Almost surely, 2^263606400540 is an apocalyptic number.

263606400540 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 263606400540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494678016000).

263606400540 is an abundant number, since it is smaller than the sum of its proper divisors (725749631460).

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

263606400540 is a wasteful number, since it uses less digits than its factorization.

263606400540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 263606400540 in words is "two hundred sixty-three billion, six hundred six million, four hundred thousand, five hundred forty".