2687557961088 has 1024 divisors, whose sum is σ = 10761133824000. Its totient is φ = 637646929920.

The previous prime is 2687557961083. The next prime is 2687557961183. The reversal of 2687557961088 is 8801697557862.

2687557961088 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 557 + 9 + 61 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687557961083) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 335563228 + ... + 335571236.

It is an arithmetic number, because the mean of its divisors is an integer number (10508919750).

Almost surely, 2^{2687557961088} is an apocalyptic number.

2687557961088 is a gapful number since it is divisible by the number (28) 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 2687557961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380566912000).

2687557961088 is an abundant number, since it is smaller than the sum of its proper divisors (8073575862912).

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

2687557961088 is a wasteful number, since it uses less digits than its factorization.

2687557961088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 2687557961088 in words is "two trillion, six hundred eighty-seven billion, five hundred fifty-seven million, nine hundred sixty-one thousand, eighty-eight".