10314584280 has 1536 divisors, whose sum is σ = 49641984000. Its totient is φ = 1869557760.

The previous prime is 10314584261. The next prime is 10314584281. The reversal of 10314584280 is 8248541301.

10314584280 = 85² + 86² + ... + 3139².

10314584280 is a `hidden beast` number, since 10 + 314 + 58 + 4 + 280 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10314584281) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 219459217 + ... + 219459263.

It is an arithmetic number, because the mean of its divisors is an integer number (32319000).

Almost surely, 2^10314584280 is an apocalyptic number.

10314584280 is a gapful number since it is divisible by the number (10) 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 10314584280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24820992000).

10314584280 is an abundant number, since it is smaller than the sum of its proper divisors (39327399720).

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

10314584280 is a wasteful number, since it uses less digits than its factorization.

10314584280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10314584280 in words is "ten billion, three hundred fourteen million, five hundred eighty-four thousand, two hundred eighty".