2151251216400 has 960 divisors, whose sum is σ = 8600787014400. Its totient is φ = 451569254400.

The previous prime is 2151251216377. The next prime is 2151251216407. The reversal of 2151251216400 is 46121521512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2151251216407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1018101744 + ... + 1018103856.

It is an arithmetic number, because the mean of its divisors is an integer number (8959153140).

Almost surely, 2^{2151251216400} is an apocalyptic number.

2151251216400 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 2151251216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300393507200).

2151251216400 is an abundant number, since it is smaller than the sum of its proper divisors (6449535798000).

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

2151251216400 is a wasteful number, since it uses less digits than its factorization.

2151251216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 2151251216400 its reverse (46121521512), we get a palindrome (2197372737912).

The spelling of 2151251216400 in words is "two trillion, one hundred fifty-one billion, two hundred fifty-one million, two hundred sixteen thousand, four hundred".