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538878795840 = 26345711270001
BaseRepresentation
bin1111101011101111010…
…11011110000001000000
31220111221101112011210000
413311313223132001000
532312110432431330
61051320230440000
753634630121350
oct7656753360100
91814841464700
10538878795840
111985a0039230
1288531503000
133ba7bb37108
141c120932b60
15e03de96560
hex7d77ade040

538878795840 has 560 divisors, whose sum is σ = 2389893542784. Its totient is φ = 111974400000.

The previous prime is 538878795839. The next prime is 538878795857. The reversal of 538878795840 is 48597878835.

538878795840 is a `hidden beast` number, since 5 + 38 + 8 + 7 + 8 + 7 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1860840 + ... + 2130840.

Almost surely, 2538878795840 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 538878795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194946771392).

538878795840 is an abundant number, since it is smaller than the sum of its proper divisors (1851014746944).

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

538878795840 is a wasteful number, since it uses less digits than its factorization.

538878795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270048 (or 270029 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 538878795840 in words is "five hundred thirty-eight billion, eight hundred seventy-eight million, seven hundred ninety-five thousand, eight hundred forty".