5890021401600 has 3168 divisors, whose sum is σ = 27049739241600. Its totient is φ = 1264146186240.

The previous prime is 5890021401557. The next prime is 5890021401611. The reversal of 5890021401600 is 61041200985.

5890021401600 is a `hidden beast` number, since 5 + 8 + 9 + 0 + 0 + 2 + 1 + 40 + 1 + 600 = 666.

It is a super-2 number, since 2×5890021401600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52124083144 + ... + 52124083256.

Almost surely, 2^{5890021401600} is an apocalyptic number.

5890021401600 is a gapful number since it is divisible by the number (50) 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 5890021401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13524869620800).

5890021401600 is an abundant number, since it is smaller than the sum of its proper divisors (21159717840000).

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

5890021401600 is a wasteful number, since it uses less digits than its factorization.

5890021401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 5890021401600 in words is "five trillion, eight hundred ninety billion, twenty-one million, four hundred one thousand, six hundred".