2151160544064 has 224 divisors, whose sum is σ = 6617151364096. Its totient is φ = 604034703360.

The previous prime is 2151160544059. The next prime is 2151160544069. The reversal of 2151160544064 is 4604450611512.

It is an interprime number because it is at equal distance from previous prime (2151160544059) and next prime (2151160544069).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151160544069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38963199 + ... + 39018369.

It is an arithmetic number, because the mean of its divisors is an integer number (29540854304).

Almost surely, 2^{2151160544064} is an apocalyptic number.

2151160544064 is a gapful number since it is divisible by the number (24) 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 2151160544064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308575682048).

2151160544064 is an abundant number, since it is smaller than the sum of its proper divisors (4465990820032).

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

2151160544064 is a wasteful number, since it uses less digits than its factorization.

2151160544064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55693 (or 55683 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 2151160544064 in words is "two trillion, one hundred fifty-one billion, one hundred sixty million, five hundred forty-four thousand, sixty-four".