5072595840 has 576 divisors, whose sum is σ = 19771773840. Its totient is φ = 1242169344.

The previous prime is 5072595811. The next prime is 5072595883. The reversal of 5072595840 is 485952705.

5072595840 is a `hidden beast` number, since 50 + 7 + 2 + 595 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26282784 + ... + 26282976.

Almost surely, 2^5072595840 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 5072595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9885886920).

5072595840 is an abundant number, since it is smaller than the sum of its proper divisors (14699178000).

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

5072595840 is a wasteful number, since it uses less digits than its factorization.

5072595840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 5072595840 is about 71222.1583497720. The cubic root of 5072595840 is about 1718.2120233816.

The spelling of 5072595840 in words is "five billion, seventy-two million, five hundred ninety-five thousand, eight hundred forty".