5350551897600 has 2880 divisors, whose sum is σ = 25405309670400. Its totient is φ = 1077926952960.

The previous prime is 5350551897553. The next prime is 5350551897619. The reversal of 5350551897600 is 67981550535.

5350551897600 is a `hidden beast` number, since 5 + 3 + 5 + 0 + 551 + 89 + 7 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×5350551897600³ (a number of 39 digits) contains 333 as substring.

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

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, 9403430116 + ... + 9403430684.

It is an arithmetic number, because the mean of its divisors is an integer number (8821288080).

Almost surely, 2^{5350551897600} is an apocalyptic number.

5350551897600 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 5350551897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12702654835200).

5350551897600 is an abundant number, since it is smaller than the sum of its proper divisors (20054757772800).

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

5350551897600 is a wasteful number, since it uses less digits than its factorization.

5350551897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 54.

The spelling of 5350551897600 in words is "five trillion, three hundred fifty billion, five hundred fifty-one million, eight hundred ninety-seven thousand, six hundred".