5929252954560 has 672 divisors, whose sum is σ = 23766754152960. Its totient is φ = 1396046057472.

The previous prime is 5929252954531. The next prime is 5929252954579. The reversal of 5929252954560 is 654592529295.

5929252954560 is a `hidden beast` number, since 5 + 9 + 2 + 9 + 2 + 5 + 29 + 545 + 60 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23122731 + ... + 23377749.

It is an arithmetic number, because the mean of its divisors is an integer number (35367193680).

Almost surely, 2^{5929252954560} 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 5929252954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11883377076480).

5929252954560 is an abundant number, since it is smaller than the sum of its proper divisors (17837501198400).

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

5929252954560 is a wasteful number, since it uses less digits than its factorization.

5929252954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255087 (or 255065 counting only the distinct ones).

The product of its (nonzero) digits is 87480000, while the sum is 63.

The spelling of 5929252954560 in words is "five trillion, nine hundred twenty-nine billion, two hundred fifty-two million, nine hundred fifty-four thousand, five hundred sixty".