5335250457600 has 2376 divisors, whose sum is σ = 24078087528768. Its totient is φ = 1164931891200.

The previous prime is 5335250457541. The next prime is 5335250457643. The reversal of 5335250457600 is 67540525335.

5335250457600 is a `hidden beast` number, since 5 + 3 + 35 + 2 + 5 + 0 + 4 + 5 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7010841220 + ... + 7010841980.

Almost surely, 2^{5335250457600} is an apocalyptic number.

5335250457600 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 5335250457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12039043764384).

5335250457600 is an abundant number, since it is smaller than the sum of its proper divisors (18742837071168).

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

5335250457600 is a wasteful number, since it uses less digits than its factorization.

5335250457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 45.

The spelling of 5335250457600 in words is "five trillion, three hundred thirty-five billion, two hundred fifty million, four hundred fifty-seven thousand, six hundred".