2151200415320 has 256 divisors, whose sum is σ = 5623043328000. Its totient is φ = 733003223040.

The previous prime is 2151200415307. The next prime is 2151200415337. The reversal of 2151200415320 is 235140021512.

It is a self number, because there is not a number n which added to its sum of digits gives 2151200415320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110065469 + ... + 110085011.

It is an arithmetic number, because the mean of its divisors is an integer number (21965013000).

Almost surely, 2^{2151200415320} is an apocalyptic number.

2151200415320 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 2151200415320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811521664000).

2151200415320 is an abundant number, since it is smaller than the sum of its proper divisors (3471842912680).

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

2151200415320 is a wasteful number, since it uses less digits than its factorization.

2151200415320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19810 (or 19806 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 2151200415320 its reverse (235140021512), we get a palindrome (2386340436832).

The spelling of 2151200415320 in words is "two trillion, one hundred fifty-one billion, two hundred million, four hundred fifteen thousand, three hundred twenty".