27902812320 has 144 divisors (see below), whose sum is σ = 98290063872. Its totient is φ = 7200714240.

The previous prime is 27902812309. The next prime is 27902812367. The reversal of 27902812320 is 2321820972.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267892 + ... + 357171.

It is an arithmetic number, because the mean of its divisors is an integer number (682569888).

Almost surely, 2^27902812320 is an apocalyptic number.

27902812320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27902812320 is an abundant number, since it is smaller than the sum of its proper divisors (70387251552).

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

27902812320 is a wasteful number, since it uses less digits than its factorization.

27902812320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625115 (or 625104 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 27902812320 in words is "twenty-seven billion, nine hundred two million, eight hundred twelve thousand, three hundred twenty".