2124255953664 has 1296 divisors, whose sum is σ = 7284833267712. Its totient is φ = 616271265792.

The previous prime is 2124255953657. The next prime is 2124255953717. The reversal of 2124255953664 is 4663595524212.

2124255953664 is a `hidden beast` number, since 2 + 1 + 2 + 42 + 5 + 5 + 9 + 536 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×2124255953664³ (a number of 38 digits) contains 333 as substring.

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

Its product of digits (15552000) is a multiple of the sum of its prime divisors (225).

It is a self number, because there is not a number n which added to its sum of digits gives 2124255953664.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16726424769 + ... + 16726424895.

Almost surely, 2^{2124255953664} is an apocalyptic number.

2124255953664 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 2124255953664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642416633856).

2124255953664 is an abundant number, since it is smaller than the sum of its proper divisors (5160577314048).

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

2124255953664 is a wasteful number, since it uses less digits than its factorization.

2124255953664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 225 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 2124255953664 in words is "two trillion, one hundred twenty-four billion, two hundred fifty-five million, nine hundred fifty-three thousand, six hundred sixty-four".