5407391001600 has 1980 divisors, whose sum is σ = 24526630541160. Its totient is φ = 1170505728000.

The previous prime is 5407391001553. The next prime is 5407391001631. The reversal of 5407391001600 is 61001937045.

5407391001600 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 39 + 10 + 0 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1930520200 + ... + 1930523000.

It is an arithmetic number, because the mean of its divisors is an integer number (12387187142).

Almost surely, 2^{5407391001600} is an apocalyptic number.

5407391001600 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 5407391001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12263315270580).

5407391001600 is an abundant number, since it is smaller than the sum of its proper divisors (19119239539560).

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

5407391001600 is a wasteful number, since it uses less digits than its factorization.

5407391001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Adding to 5407391001600 its reverse (61001937045), we get a palindrome (5468392938645).

The spelling of 5407391001600 in words is "five trillion, four hundred seven billion, three hundred ninety-one million, one thousand, six hundred".