27420759685620 has 384 divisors, whose sum is σ = 106561138360320. Its totient is φ = 5708631582720.

The previous prime is 27420759685609. The next prime is 27420759685633. The reversal of 27420759685620 is 2658695702472.

27420759685620 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 0 + 7 + 5 + 9 + 68 + 562 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 4890454 + ... + 8874573.

It is an arithmetic number, because the mean of its divisors is an integer number (277502964480).

Almost surely, 2^{27420759685620} is an apocalyptic number.

27420759685620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27420759685620 is an abundant number, since it is smaller than the sum of its proper divisors (79140378674700).

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

27420759685620 is a wasteful number, since it uses less digits than its factorization.

27420759685620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13765100 (or 13765092 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 27420759685620 in words is "twenty-seven trillion, four hundred twenty billion, seven hundred fifty-nine million, six hundred eighty-five thousand, six hundred twenty".