2151627907968 has 576 divisors, whose sum is σ = 8128163862000. Its totient is φ = 539588689920.

The previous prime is 2151627907861. The next prime is 2151627908009. The reversal of 2151627907968 is 8697097261512.

2151627907968 is a `hidden beast` number, since 2 + 1 + 516 + 27 + 9 + 0 + 7 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×2151627907968³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17947168 + ... + 18066656.

Almost surely, 2^{2151627907968} is an apocalyptic number.

2151627907968 is a gapful number since it is divisible by the number (28) 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 2151627907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064081931000).

2151627907968 is an abundant number, since it is smaller than the sum of its proper divisors (5976535954032).

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

2151627907968 is a wasteful number, since it uses less digits than its factorization.

2151627907968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119563 (or 119541 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 2151627907968 in words is "two trillion, one hundred fifty-one billion, six hundred twenty-seven million, nine hundred seven thousand, nine hundred sixty-eight".