2600132935680 has 864 divisors, whose sum is σ = 10823317505280. Its totient is φ = 579820584960.

The previous prime is 2600132935669. The next prime is 2600132935703. The reversal of 2600132935680 is 865392310062.

2600132935680 is a `hidden beast` number, since 2 + 60 + 0 + 1 + 3 + 29 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63417876460 + ... + 63417876500.

Almost surely, 2^{2600132935680} is an apocalyptic number.

2600132935680 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 2600132935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5411658752640).

2600132935680 is an abundant number, since it is smaller than the sum of its proper divisors (8223184569600).

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

2600132935680 is an frugal number, since it uses more digits than its factorization.

2600132935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2600132935680 in words is "two trillion, six hundred billion, one hundred thirty-two million, nine hundred thirty-five thousand, six hundred eighty".