2725631778870 has 1728 divisors, whose sum is σ = 10546894245888. Its totient is φ = 474622156800.

The previous prime is 2725631778841. The next prime is 2725631778899. The reversal of 2725631778870 is 788771365272.

2725631778870 is a `hidden beast` number, since 272 + 56 + 3 + 177 + 88 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (2725631778841) and next prime (2725631778899).

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

It is a junction number, because it is equal to n+sod(n) for n = 2725631778798 and 2725631778807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 8878279257 + ... + 8878279563.

Almost surely, 2^{2725631778870} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2725631778870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273447122944).

2725631778870 is an abundant number, since it is smaller than the sum of its proper divisors (7821262467018).

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

2725631778870 is a wasteful number, since it uses less digits than its factorization.

2725631778870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 63.

The spelling of 2725631778870 in words is "two trillion, seven hundred twenty-five billion, six hundred thirty-one million, seven hundred seventy-eight thousand, eight hundred seventy".