216125351640 has 384 divisors, whose sum is σ = 806189267520. Its totient is φ = 49733222400.

The previous prime is 216125351579. The next prime is 216125351641. The reversal of 216125351640 is 46153521612.

216125351640 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 2 + 5 + 3 + 5 + 1 + 640 = 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 = 216125351595 and 216125351604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216125351641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5989332 + ... + 6025308.

Almost surely, 2^216125351640 is an apocalyptic number.

216125351640 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 216125351640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403094633760).

216125351640 is an abundant number, since it is smaller than the sum of its proper divisors (590063915880).

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

216125351640 is a wasteful number, since it uses less digits than its factorization.

216125351640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36083 (or 36076 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

It can be divided in two parts, 216125 and 351640, that added together give a palindrome (567765).

The spelling of 216125351640 in words is "two hundred sixteen billion, one hundred twenty-five million, three hundred fifty-one thousand, six hundred forty".