2159553457152 has 1056 divisors, whose sum is σ = 8010733599232. Its totient is φ = 565855911936.

The previous prime is 2159553457141. The next prime is 2159553457153. The reversal of 2159553457152 is 2517543559512.

2159553457152 is a `hidden beast` number, since 2 + 1 + 5 + 9 + 5 + 534 + 57 + 1 + 52 = 666.

It is a super-3 number, since 3×2159553457152³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (9450000) is a multiple of the sum of its prime factors (675).

It is not an unprimeable number, because it can be changed into a prime (2159553457153) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6408170328 + ... + 6408170664.

Almost surely, 2^{2159553457152} 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 2159553457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005366799616).

2159553457152 is an abundant number, since it is smaller than the sum of its proper divisors (5851180142080).

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

2159553457152 is a wasteful number, since it uses less digits than its factorization.

2159553457152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 645 counting only the distinct ones).

The product of its digits is 9450000, while the sum is 54.

The spelling of 2159553457152 in words is "two trillion, one hundred fifty-nine billion, five hundred fifty-three million, four hundred fifty-seven thousand, one hundred fifty-two".