27920170080 has 144 divisors (see below), whose sum is σ = 103939237584. Its totient is φ = 6768522240.

The previous prime is 27920170079. The next prime is 27920170111. The reversal of 27920170080 is 8007102972.

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

It is a super-2 number, since 2×27920170080² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 865479 + ... + 897158.

It is an arithmetic number, because the mean of its divisors is an integer number (721800261).

Almost surely, 2^27920170080 is an apocalyptic number.

27920170080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27920170080 is an abundant number, since it is smaller than the sum of its proper divisors (76019067504).

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

27920170080 is a wasteful number, since it uses less digits than its factorization.

27920170080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762669 (or 1762658 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

It can be divided in two parts, 279201 and 70080, that added together give a square (349281 = 591²).

The spelling of 27920170080 in words is "twenty-seven billion, nine hundred twenty million, one hundred seventy thousand, eighty".