2155951215648 has 768 divisors, whose sum is σ = 7232610631680. Its totient is φ = 620786073600.

The previous prime is 2155951215637. The next prime is 2155951215709. The reversal of 2155951215648 is 8465121595512.

2155951215648 is a `hidden beast` number, since 2 + 1 + 5 + 5 + 9 + 51 + 21 + 564 + 8 = 666.

It is a super-3 number, since 3×2155951215648³ (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).

It is a junction number, because it is equal to n+sod(n) for n = 2155951215594 and 2155951215603.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1330012278 + ... + 1330013898.

It is an arithmetic number, because the mean of its divisors is an integer number (9417461760).

Almost surely, 2^{2155951215648} 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 2155951215648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616305315840).

2155951215648 is an abundant number, since it is smaller than the sum of its proper divisors (5076659416032).

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

2155951215648 is a wasteful number, since it uses less digits than its factorization.

2155951215648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1824 counting only the distinct ones).

The product of its digits is 4320000, while the sum is 54.

The spelling of 2155951215648 in words is "two trillion, one hundred fifty-five billion, nine hundred fifty-one million, two hundred fifteen thousand, six hundred forty-eight".