263060078400 has 504 divisors, whose sum is σ = 1077012019200. Its totient is φ = 59651665920.

The previous prime is 263060078389. The next prime is 263060078431. The reversal of 263060078400 is 4870060362.

263060078400 is a `hidden beast` number, since 2 + 6 + 3 + 0 + 600 + 7 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12791326 + ... + 12811874.

Almost surely, 2^263060078400 is an apocalyptic number.

263060078400 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 263060078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538506009600).

263060078400 is an abundant number, since it is smaller than the sum of its proper divisors (813951940800).

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

263060078400 is a wasteful number, since it uses less digits than its factorization.

263060078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20711 (or 20693 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 263060078400 in words is "two hundred sixty-three billion, sixty million, seventy-eight thousand, four hundred".