5435368699200 has 1344 divisors, whose sum is σ = 21033119508480. Its totient is φ = 1214853120000.

The previous prime is 5435368699169. The next prime is 5435368699217. The reversal of 5435368699200 is 29968635345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8028609262 + ... + 8028609938.

Almost surely, 2^{5435368699200} is an apocalyptic number.

5435368699200 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 5435368699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10516559754240).

5435368699200 is an abundant number, since it is smaller than the sum of its proper divisors (15597750809280).

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

5435368699200 is a wasteful number, since it uses less digits than its factorization.

5435368699200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 60.

The spelling of 5435368699200 in words is "five trillion, four hundred thirty-five billion, three hundred sixty-eight million, six hundred ninety-nine thousand, two hundred".