26626727400 has 864 divisors, whose sum is σ = 108959722560. Its totient is φ = 5350625280.

The previous prime is 26626727341. The next prime is 26626727419. The reversal of 26626727400 is 472762662.

It is a super-2 number, since 2×26626727400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 114277684 + ... + 114277916.

It is an arithmetic number, because the mean of its divisors is an integer number (126110790).

Almost surely, 2^26626727400 is an apocalyptic number.

26626727400 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 26626727400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54479861280).

26626727400 is an abundant number, since it is smaller than the sum of its proper divisors (82332995160).

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

26626727400 is a wasteful number, since it uses less digits than its factorization.

26626727400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 26626727400 in words is "twenty-six billion, six hundred twenty-six million, seven hundred twenty-seven thousand, four hundred".