27972902909952 has 2304 divisors, whose sum is σ = 116123861468160. Its totient is φ = 6242697216000.

The previous prime is 27972902909921. The next prime is 27972902909971. The reversal of 27972902909952 is 25990920927972.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31679391303 + ... + 31679392185.

It is an arithmetic number, because the mean of its divisors is an integer number (50400981540).

Almost surely, 2^{27972902909952} is an apocalyptic number.

27972902909952 is a gapful number since it is divisible by the number (22) 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 27972902909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58061930734080).

27972902909952 is an abundant number, since it is smaller than the sum of its proper divisors (88150958558208).

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

27972902909952 is a wasteful number, since it uses less digits than its factorization.

27972902909952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 231472080, while the sum is 72.

The spelling of 27972902909952 in words is "twenty-seven trillion, nine hundred seventy-two billion, nine hundred two million, nine hundred nine thousand, nine hundred fifty-two".