5405161752100 has 288 divisors, whose sum is σ = 14209204052736. Its totient is φ = 1760455065600.

The previous prime is 5405161752097. The next prime is 5405161752119. The reversal of 5405161752100 is 12571615045.

It is a self number, because there is not a number n which added to its sum of digits gives 5405161752100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84697804 + ... + 84761596.

It is an arithmetic number, because the mean of its divisors is an integer number (49337514072).

Almost surely, 2^{5405161752100} is an apocalyptic number.

5405161752100 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 5405161752100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7104602026368).

5405161752100 is an abundant number, since it is smaller than the sum of its proper divisors (8804042300636).

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

5405161752100 is a wasteful number, since it uses less digits than its factorization.

5405161752100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64055 (or 64048 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 37.

The spelling of 5405161752100 in words is "five trillion, four hundred five billion, one hundred sixty-one million, seven hundred fifty-two thousand, one hundred".