26987016672 has 384 divisors, whose sum is σ = 98622074880. Its totient is φ = 6974830080.

The previous prime is 26987016601. The next prime is 26987016739. The reversal of 26987016672 is 27661078962.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15100963 + ... + 15102749.

It is an arithmetic number, because the mean of its divisors is an integer number (256828320).

Almost surely, 2^26987016672 is an apocalyptic number.

26987016672 is a gapful number since it is divisible by the number (22) 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 26987016672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49311037440).

26987016672 is an abundant number, since it is smaller than the sum of its proper divisors (71635058208).

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

26987016672 is a wasteful number, since it uses less digits than its factorization.

26987016672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 26987016672 in words is "twenty-six billion, nine hundred eighty-seven million, sixteen thousand, six hundred seventy-two".