5350378890240 has 352 divisors, whose sum is σ = 20015041968000. Its totient is φ = 1351674003456.

The previous prime is 5350378890217. The next prime is 5350378890251. The reversal of 5350378890240 is 420988730535.

5350378890240 is a `hidden beast` number, since 5 + 3 + 503 + 7 + 8 + 8 + 90 + 2 + 40 = 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 31 ways as a sum of consecutive naturals, for example, 1608046 + ... + 3645074.

Almost surely, 2^{5350378890240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5350378890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10007520984000).

5350378890240 is an abundant number, since it is smaller than the sum of its proper divisors (14664663077760).

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

5350378890240 is a wasteful number, since it uses less digits than its factorization.

5350378890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037082 (or 2037058 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5350378890240 in words is "five trillion, three hundred fifty billion, three hundred seventy-eight million, eight hundred ninety thousand, two hundred forty".