26988013760400 has 3840 divisors, whose sum is σ = 130563643392000. Its totient is φ = 5123948544000.

The previous prime is 26988013760371. The next prime is 26988013760401. The reversal of 26988013760400 is 406731088962.

26988013760400 is a `hidden beast` number, since 2 + 6 + 98 + 80 + 1 + 3 + 76 + 0 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26988013760401) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 135618159501 + ... + 135618159699.

It is an arithmetic number, because the mean of its divisors is an integer number (34000948800).

Almost surely, 2^{26988013760400} is an apocalyptic number.

26988013760400 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 26988013760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65281821696000).

26988013760400 is an abundant number, since it is smaller than the sum of its proper divisors (103575629631600).

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

26988013760400 is a wasteful number, since it uses less digits than its factorization.

26988013760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 26988013760400 in words is "twenty-six trillion, nine hundred eighty-eight billion, thirteen million, seven hundred sixty thousand, four hundred".