5690151361440 has 1920 divisors, whose sum is σ = 26091121351680. Its totient is φ = 1134976499712.

The previous prime is 5690151361429. The next prime is 5690151361441. The reversal of 5690151361440 is 441631510965.

5690151361440 is a `hidden beast` number, since 5 + 6 + 9 + 0 + 15 + 13 + 614 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5690151361441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2414148742 + ... + 2414151098.

It is an arithmetic number, because the mean of its divisors is an integer number (13589125704).

Almost surely, 2^{5690151361440} 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 5690151361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13045560675840).

5690151361440 is an abundant number, since it is smaller than the sum of its proper divisors (20400969990240).

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

5690151361440 is a wasteful number, since it uses less digits than its factorization.

5690151361440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 5690151361440 in words is "five trillion, six hundred ninety billion, one hundred fifty-one million, three hundred sixty-one thousand, four hundred forty".