5735152926720 has 1800 divisors, whose sum is σ = 24732783250560. Its totient is φ = 1266375720960.

The previous prime is 5735152926697. The next prime is 5735152926721. The reversal of 5735152926720 is 276292515375.

5735152926720 is a `hidden beast` number, since 5 + 7 + 3 + 51 + 529 + 2 + 67 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5735152926721) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10079354596 + ... + 10079355164.

Almost surely, 2^{5735152926720} 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 5735152926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12366391625280).

5735152926720 is an abundant number, since it is smaller than the sum of its proper divisors (18997630323840).

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

5735152926720 is an equidigital number, since it uses as much as digits as its factorization.

5735152926720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 5735152926720 in words is "five trillion, seven hundred thirty-five billion, one hundred fifty-two million, nine hundred twenty-six thousand, seven hundred twenty".