27821319480 has 160 divisors (see below), whose sum is σ = 93600856800. Its totient is φ = 7411855104.

The previous prime is 27821319443. The next prime is 27821319497. The reversal of 27821319480 is 8491312872.

It is a happy number.

27821319480 is a `hidden beast` number, since 278 + 21 + 319 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3926581 + ... + 3933659.

It is an arithmetic number, because the mean of its divisors is an integer number (585005355).

Almost surely, 2^27821319480 is an apocalyptic number.

27821319480 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 27821319480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46800428400).

27821319480 is an abundant number, since it is smaller than the sum of its proper divisors (65779537320).

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

27821319480 is a wasteful number, since it uses less digits than its factorization.

27821319480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8315 (or 8302 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 27821319480 in words is "twenty-seven billion, eight hundred twenty-one million, three hundred nineteen thousand, four hundred eighty".