5407600469544 has 960 divisors, whose sum is σ = 19671877209600. Its totient is φ = 1374168499200.

The previous prime is 5407600469527. The next prime is 5407600469629. The reversal of 5407600469544 is 4459640067045.

5407600469544 is a `hidden beast` number, since 54 + 0 + 7 + 6 + 0 + 0 + 46 + 9 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3442138279 + ... + 3442139849.

It is an arithmetic number, because the mean of its divisors is an integer number (20491538760).

Almost surely, 2^{5407600469544} is an apocalyptic number.

5407600469544 is a gapful number since it is divisible by the number (54) 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 5407600469544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9835938604800).

5407600469544 is an abundant number, since it is smaller than the sum of its proper divisors (14264276740056).

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

5407600469544 is a wasteful number, since it uses less digits than its factorization.

5407600469544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 5407600469544 in words is "five trillion, four hundred seven billion, six hundred million, four hundred sixty-nine thousand, five hundred forty-four".