27164890429040 has 640 divisors, whose sum is σ = 84088592985600. Its totient is φ = 8081605066752.

The previous prime is 27164890428983. The next prime is 27164890429223. The reversal of 27164890429040 is 4092409846172.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6046045034 + ... + 6046049526.

It is an arithmetic number, because the mean of its divisors is an integer number (131388426540).

Almost surely, 2^{27164890429040} is an apocalyptic number.

27164890429040 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 27164890429040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42044296492800).

27164890429040 is an abundant number, since it is smaller than the sum of its proper divisors (56923702556560).

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

27164890429040 is a wasteful number, since it uses less digits than its factorization.

27164890429040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5554 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 27164890429040 in words is "twenty-seven trillion, one hundred sixty-four billion, eight hundred ninety million, four hundred twenty-nine thousand, forty".