5953793040 has 720 divisors, whose sum is σ = 23944467456. Its totient is φ = 1316044800.

The previous prime is 5953793033. The next prime is 5953793059. The reversal of 5953793040 is 403973595.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 83856205 + ... + 83856275.

Almost surely, 2^5953793040 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 5953793040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11972233728).

5953793040 is an abundant number, since it is smaller than the sum of its proper divisors (17990674416).

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

5953793040 is a wasteful number, since it uses less digits than its factorization.

5953793040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 5953793040 is about 77160.8258120661. The cubic root of 5953793040 is about 1812.4439214675.

It can be divided in two parts, 595 and 3793040, that added together give a triangular number (3793635 = T₂₇₅₄).

The spelling of 5953793040 in words is "five billion, nine hundred fifty-three million, seven hundred ninety-three thousand, forty".