2555628572160 has 960 divisors, whose sum is σ = 9956688445440. Its totient is φ = 620571525120.

The previous prime is 2555628572137. The next prime is 2555628572197. The reversal of 2555628572160 is 612758265552.

2555628572160 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 6 + 2 + 8 + 572 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 2555628572097 and 2555628572106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 619244017 + ... + 619248143.

It is an arithmetic number, because the mean of its divisors is an integer number (10371550464).

Almost surely, 2^{2555628572160} is an apocalyptic number.

2555628572160 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 2555628572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978344222720).

2555628572160 is an abundant number, since it is smaller than the sum of its proper divisors (7401059873280).

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

2555628572160 is a wasteful number, since it uses less digits than its factorization.

2555628572160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 2555628572160 in words is "two trillion, five hundred fifty-five billion, six hundred twenty-eight million, five hundred seventy-two thousand, one hundred sixty".