2156015746560 has 640 divisors, whose sum is σ = 7937782199424. Its totient is φ = 494508441600.

The previous prime is 2156015746529. The next prime is 2156015746603. The reversal of 2156015746560 is 656475106512.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 171418992 + ... + 171431568.

Almost surely, 2^{2156015746560} is an apocalyptic number.

2156015746560 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 2156015746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968891099712).

2156015746560 is an abundant number, since it is smaller than the sum of its proper divisors (5781766452864).

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

2156015746560 is a wasteful number, since it uses less digits than its factorization.

2156015746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12734 (or 12718 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 2156015746560 in words is "two trillion, one hundred fifty-six billion, fifteen million, seven hundred forty-six thousand, five hundred sixty".