5279507735040 has 1920 divisors, whose sum is σ = 24888987002880. Its totient is φ = 1039122432000.

The previous prime is 5279507735017. The next prime is 5279507735057. The reversal of 5279507735040 is 405377059725.

5279507735040 is a `hidden beast` number, since 5 + 27 + 9 + 507 + 73 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 910100140 + ... + 910105940.

It is an arithmetic number, because the mean of its divisors is an integer number (12963014064).

Almost surely, 2^{5279507735040} 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 5279507735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12444493501440).

5279507735040 is an abundant number, since it is smaller than the sum of its proper divisors (19609479267840).

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

5279507735040 is a wasteful number, since it uses less digits than its factorization.

5279507735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 9261000, while the sum is 54.

The spelling of 5279507735040 in words is "five trillion, two hundred seventy-nine billion, five hundred seven million, seven hundred thirty-five thousand, forty".