26674580016 has 480 divisors, whose sum is σ = 97029504000. Its totient is φ = 6968166912.

The previous prime is 26674580003. The next prime is 26674580029. The reversal of 26674580016 is 61008547662.

26674580016 is a `hidden beast` number, since 2 + 6 + 67 + 4 + 580 + 0 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (26674580003) and next prime (26674580029).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11662425 + ... + 11664711.

It is an arithmetic number, because the mean of its divisors is an integer number (202144800).

Almost surely, 2^26674580016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26674580016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48514752000).

26674580016 is an abundant number, since it is smaller than the sum of its proper divisors (70354923984).

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

26674580016 is a wasteful number, since it uses less digits than its factorization.

26674580016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2347 counting only the distinct ones).

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

The spelling of 26674580016 in words is "twenty-six billion, six hundred seventy-four million, five hundred eighty thousand, sixteen".