27881475705720 has 768 divisors, whose sum is σ = 120183978700800. Its totient is φ = 5692916597760.

The previous prime is 27881475705701. The next prime is 27881475705739. The reversal of 27881475705720 is 2750757418872.

27881475705720 is a `hidden beast` number, since 2 + 7 + 8 + 8 + 1 + 4 + 7 + 57 + 0 + 572 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27881475705701) and next prime (27881475705739).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 20673087 + ... + 21980433.

It is an arithmetic number, because the mean of its divisors is an integer number (156489555600).

Almost surely, 2^{27881475705720} is an apocalyptic number.

27881475705720 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 27881475705720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60091989350400).

27881475705720 is an abundant number, since it is smaller than the sum of its proper divisors (92302502995080).

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

27881475705720 is a wasteful number, since it uses less digits than its factorization.

27881475705720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307425 (or 1307408 counting only the distinct ones).

The product of its (nonzero) digits is 61465600, while the sum is 63.

The spelling of 27881475705720 in words is "twenty-seven trillion, eight hundred eighty-one billion, four hundred seventy-five million, seven hundred five thousand, seven hundred twenty".