27902366016000 has 1280 divisors, whose sum is σ = 113802126197760. Its totient is φ = 5919945523200.

The previous prime is 27902366015987. The next prime is 27902366016001. The reversal of 27902366016000 is 61066320972.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (27902366016001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1667895636 + ... + 1667912364.

It is an arithmetic number, because the mean of its divisors is an integer number (88907911092).

Almost surely, 2^{27902366016000} is an apocalyptic number.

27902366016000 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 27902366016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56901063098880).

27902366016000 is an abundant number, since it is smaller than the sum of its proper divisors (85899760181760).

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

27902366016000 is a wasteful number, since it uses less digits than its factorization.

27902366016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16862 (or 16836 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 27902366016000 in words is "twenty-seven trillion, nine hundred two billion, three hundred sixty-six million, sixteen thousand".