10874626560 has 240 divisors, whose sum is σ = 43042798656. Its totient is φ = 2485592064.

The previous prime is 10874626547. The next prime is 10874626571. The reversal of 10874626560 is 6562647801.

10874626560 is a `hidden beast` number, since 1 + 0 + 87 + 4 + 6 + 2 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 127567 + ... + 194993.

Almost surely, 2^10874626560 is an apocalyptic number.

10874626560 is a gapful number since it is divisible by the number (10) 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 10874626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21521399328).

10874626560 is an abundant number, since it is smaller than the sum of its proper divisors (32168172096).

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

10874626560 is an equidigital number, since it uses as much as digits as its factorization.

10874626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67463 (or 67444 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10874626560 in words is "ten billion, eight hundred seventy-four million, six hundred twenty-six thousand, five hundred sixty".