27016070400 has 864 divisors, whose sum is σ = 110314189440. Its totient is φ = 6414336000.

The previous prime is 27016070383. The next prime is 27016070443. The reversal of 27016070400 is 407061072.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115948684 + ... + 115948916.

It is an arithmetic number, because the mean of its divisors is an integer number (127678460).

Almost surely, 2^27016070400 is an apocalyptic number.

27016070400 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 27016070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157094720).

27016070400 is an abundant number, since it is smaller than the sum of its proper divisors (83298119040).

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

27016070400 is a wasteful number, since it uses less digits than its factorization.

27016070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 27016070400 in words is "twenty-seven billion, sixteen million, seventy thousand, four hundred".