2151211794432 has 408 divisors, whose sum is σ = 6157174518912. Its totient is φ = 666799964160.

The previous prime is 2151211794427. The next prime is 2151211794439. The reversal of 2151211794432 is 2344971121512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151211794439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7601454963 + ... + 7601455245.

Almost surely, 2^{2151211794432} 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 2151211794432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078587259456).

2151211794432 is an abundant number, since it is smaller than the sum of its proper divisors (4005962724480).

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

2151211794432 is an frugal number, since it uses more digits than its factorization.

2151211794432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 352 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The spelling of 2151211794432 in words is "two trillion, one hundred fifty-one billion, two hundred eleven million, seven hundred ninety-four thousand, four hundred thirty-two".