27419000402880 has 672 divisors, whose sum is σ = 105142740468480. Its totient is φ = 6721567211520.

The previous prime is 27419000402873. The next prime is 27419000402881. The reversal of 27419000402880 is 8820400091472.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27419000402881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107241595 + ... + 107496965.

Almost surely, 2^{27419000402880} is an apocalyptic number.

27419000402880 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 27419000402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52571370234240).

27419000402880 is an abundant number, since it is smaller than the sum of its proper divisors (77723740065600).

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

27419000402880 is a wasteful number, since it uses less digits than its factorization.

27419000402880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255474 (or 255441 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 27419000402880 in words is "twenty-seven trillion, four hundred nineteen billion, four hundred two thousand, eight hundred eighty".