5751252326340 has 480 divisors, whose sum is σ = 19207749939840. Its totient is φ = 1436444928000.

The previous prime is 5751252326327. The next prime is 5751252326357. The reversal of 5751252326340 is 436232521575.

5751252326340 is a `hidden beast` number, since 5 + 7 + 5 + 1 + 2 + 5 + 2 + 3 + 2 + 634 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4013434264 + ... + 4013435696.

It is an arithmetic number, because the mean of its divisors is an integer number (40016145708).

Almost surely, 2^{5751252326340} 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 5751252326340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9603874969920).

5751252326340 is an abundant number, since it is smaller than the sum of its proper divisors (13456497613500).

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

5751252326340 is a wasteful number, since it uses less digits than its factorization.

5751252326340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 5751252326340 in words is "five trillion, seven hundred fifty-one billion, two hundred fifty-two million, three hundred twenty-six thousand, three hundred forty".