5652905315904 has 1792 divisors, whose sum is σ = 23843104358400. Its totient is φ = 1266654412800.

The previous prime is 5652905315867. The next prime is 5652905316053. The reversal of 5652905315904 is 4095135092565.

5652905315904 is a `hidden beast` number, since 5 + 6 + 52 + 9 + 0 + 531 + 59 + 0 + 4 = 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 255 ways as a sum of consecutive naturals, for example, 1332287607 + ... + 1332291849.

Almost surely, 2^{5652905315904} is an apocalyptic number.

5652905315904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5652905315904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11921552179200).

5652905315904 is an abundant number, since it is smaller than the sum of its proper divisors (18190199042496).

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

5652905315904 is a wasteful number, since it uses less digits than its factorization.

5652905315904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 5652905315904 in words is "five trillion, six hundred fifty-two billion, nine hundred five million, three hundred fifteen thousand, nine hundred four".