263641883400 has 864 divisors, whose sum is σ = 1116835884000. Its totient is φ = 56840071680.

The previous prime is 263641883251. The next prime is 263641883431. The reversal of 263641883400 is 4388146362.

263641883400 is a `hidden beast` number, since 2 + 6 + 3 + 64 + 188 + 3 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1151274486 + ... + 1151274714.

It is an arithmetic number, because the mean of its divisors is an integer number (1292634125).

Almost surely, 2^263641883400 is an apocalyptic number.

263641883400 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 263641883400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558417942000).

263641883400 is an abundant number, since it is smaller than the sum of its proper divisors (853194000600).

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

263641883400 is a wasteful number, since it uses less digits than its factorization.

263641883400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

It can be divided in two parts, 263641 and 883400, that added together give a square (1147041 = 1071²).

The spelling of 263641883400 in words is "two hundred sixty-three billion, six hundred forty-one million, eight hundred eighty-three thousand, four hundred".