213065915040 has 576 divisors, whose sum is σ = 859422275712. Its totient is φ = 47480832000.

The previous prime is 213065914987. The next prime is 213065915063. The reversal of 213065915040 is 40519560312.

213065915040 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 65 + 91 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213065914986 and 213065915004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11569840 + ... + 11588240.

It is an arithmetic number, because the mean of its divisors is an integer number (1492052562).

Almost surely, 2^213065915040 is an apocalyptic number.

213065915040 is a gapful number since it is divisible by the number (20) 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 213065915040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429711137856).

213065915040 is an abundant number, since it is smaller than the sum of its proper divisors (646356360672).

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

213065915040 is a wasteful number, since it uses less digits than its factorization.

213065915040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18493 (or 18482 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 213065915040 in words is "two hundred thirteen billion, sixty-five million, nine hundred fifteen thousand, forty".