5764101955584 has 448 divisors, whose sum is σ = 18920692623360. Its totient is φ = 1523886981120.

The previous prime is 5764101955511. The next prime is 5764101955607. The reversal of 5764101955584 is 4855591014675.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140529639 + ... + 140570649.

Almost surely, 2^{5764101955584} 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 5764101955584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9460346311680).

5764101955584 is an abundant number, since it is smaller than the sum of its proper divisors (13156590667776).

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

5764101955584 is a wasteful number, since it uses less digits than its factorization.

5764101955584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41109 (or 41085 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 60.

The spelling of 5764101955584 in words is "five trillion, seven hundred sixty-four billion, one hundred one million, nine hundred fifty-five thousand, five hundred eighty-four".