263416354560 has 864 divisors, whose sum is σ = 1033670356992. Its totient is φ = 63939870720.

The previous prime is 263416354459. The next prime is 263416354567. The reversal of 263416354560 is 65453614362.

263416354560 is a `hidden beast` number, since 2 + 6 + 3 + 4 + 1 + 635 + 4 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263416354567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163917277 + ... + 163918883.

It is an arithmetic number, because the mean of its divisors is an integer number (1196377728).

Almost surely, 2^263416354560 is an apocalyptic number.

263416354560 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 263416354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516835178496).

263416354560 is an abundant number, since it is smaller than the sum of its proper divisors (770254002432).

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

263416354560 is a wasteful number, since it uses less digits than its factorization.

263416354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 263416354560 in words is "two hundred sixty-three billion, four hundred sixteen million, three hundred fifty-four thousand, five hundred sixty".