27102302631040 has 192 divisors, whose sum is σ = 81167302472760. Its totient is φ = 8577431912448.

The previous prime is 27102302631029. The next prime is 27102302631083. The reversal of 27102302631040 is 4013620320172.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12753298022976 + 14349004608064 = 3571176^2 + 3788008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27102302630993 and 27102302631011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32831997 + ... + 33647356.

Almost surely, 2^{27102302631040} is an apocalyptic number.

27102302631040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27102302631040 is an abundant number, since it is smaller than the sum of its proper divisors (54064999841720).

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

27102302631040 is a wasteful number, since it uses less digits than its factorization.

27102302631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66479399 (or 66479380 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 27102302631040 in words is "twenty-seven trillion, one hundred two billion, three hundred two million, six hundred thirty-one thousand, forty".