55419703683840 has 1080 divisors, whose sum is σ = 214452894292560. Its totient is φ = 13648198975488.

The previous prime is 55419703683833. The next prime is 55419703683857. The reversal of 55419703683840 is 4838630791455.

55419703683840 is a `hidden beast` number, since 5 + 5 + 4 + 197 + 0 + 3 + 68 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1590537459 + ... + 1590572301.

Almost surely, 2^{55419703683840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55419703683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107226447146280).

55419703683840 is an abundant number, since it is smaller than the sum of its proper divisors (159033190608720).

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

55419703683840 is a wasteful number, since it uses less digits than its factorization.

55419703683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34951 (or 34905 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 55419703683840 in words is "fifty-five trillion, four hundred nineteen billion, seven hundred three million, six hundred eighty-three thousand, eight hundred forty".