26987030400 has 384 divisors, whose sum is σ = 99604517760. Its totient is φ = 6364569600.

The previous prime is 26987030393. The next prime is 26987030459. The reversal of 26987030400 is 403078962.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3903747 + ... + 3910653.

It is an arithmetic number, because the mean of its divisors is an integer number (259386765).

Almost surely, 2^26987030400 is an apocalyptic number.

26987030400 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 26987030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49802258880).

26987030400 is an abundant number, since it is smaller than the sum of its proper divisors (72617487360).

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

26987030400 is a wasteful number, since it uses less digits than its factorization.

26987030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6982 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 26987030400 in words is "twenty-six billion, nine hundred eighty-seven million, thirty thousand, four hundred".