2155259767752 has 384 divisors, whose sum is σ = 7500603801600. Its totient is φ = 543412717056.

The previous prime is 2155259767751. The next prime is 2155259767753. The reversal of 2155259767752 is 2577679525512.

2155259767752 is a `hidden beast` number, since 2 + 1 + 552 + 5 + 9 + 7 + 6 + 7 + 75 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2155259767751) and next prime (2155259767753).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2155259767752.

It is not an unprimeable number, because it can be changed into a prime (2155259767751) 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, 464593449 + ... + 464598087.

It is an arithmetic number, because the mean of its divisors is an integer number (19532822400).

Almost surely, 2^{2155259767752} 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 2155259767752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750301900800).

2155259767752 is an abundant number, since it is smaller than the sum of its proper divisors (5345344033848).

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

2155259767752 is a wasteful number, since it uses less digits than its factorization.

2155259767752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7777 (or 7770 counting only the distinct ones).

The product of its digits is 92610000, while the sum is 63.

The spelling of 2155259767752 in words is "two trillion, one hundred fifty-five billion, two hundred fifty-nine million, seven hundred sixty-seven thousand, seven hundred fifty-two".