1681552879776 has 240 divisors, whose sum is σ = 6165694624320. Its totient is φ = 436766929920.

The previous prime is 1681552879757. The next prime is 1681552879901. The reversal of 1681552879776 is 6779782551861.

1681552879776 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 5 + 528 + 7 + 97 + 7 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4013061 + ... + 4412228.

It is an arithmetic number, because the mean of its divisors is an integer number (25690394268).

Almost surely, 2^{1681552879776} is an apocalyptic number.

1681552879776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1681552879776 is an abundant number, since it is smaller than the sum of its proper divisors (4484141744544).

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

1681552879776 is a wasteful number, since it uses less digits than its factorization.

1681552879776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8425329 (or 8425312 counting only the distinct ones).

The product of its digits is 355622400, while the sum is 72.

The spelling of 1681552879776 in words is "one trillion, six hundred eighty-one billion, five hundred fifty-two million, eight hundred seventy-nine thousand, seven hundred seventy-six".