5279287104000 has 4800 divisors, whose sum is σ = 26368084334592. Its totient is φ = 1021206528000.

The previous prime is 5279287103983. The next prime is 5279287104011. The reversal of 5279287104000 is 4017829725.

It is a happy number.

5279287104000 is a `hidden beast` number, since 527 + 9 + 2 + 87 + 1 + 0 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 170299583985 + ... + 170299584015.

Almost surely, 2^{5279287104000} is an apocalyptic number.

5279287104000 is a gapful number since it is divisible by the number (50) 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 5279287104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13184042167296).

5279287104000 is an abundant number, since it is smaller than the sum of its proper divisors (21088797230592).

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

5279287104000 is a wasteful number, since it uses less digits than its factorization.

5279287104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 5279287104000 in words is "five trillion, two hundred seventy-nine billion, two hundred eighty-seven million, one hundred four thousand".