26478247251456 has 2400 divisors, whose sum is σ = 112771074189312. Its totient is φ = 5972286504960.

The previous prime is 26478247251431. The next prime is 26478247251607. The reversal of 26478247251456 is 65415274287462.

26478247251456 is a `hidden beast` number, since 2 + 6 + 4 + 78 + 2 + 47 + 2 + 514 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 26478247251393 and 26478247251402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11997392305 + ... + 11997394511.

Almost surely, 2^{26478247251456} is an apocalyptic number.

26478247251456 is a gapful number since it is divisible by the number (26) 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 26478247251456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56385537094656).

26478247251456 is an abundant number, since it is smaller than the sum of its proper divisors (86292826937856).

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

26478247251456 is a wasteful number, since it uses less digits than its factorization.

26478247251456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2260 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 63.

The spelling of 26478247251456 in words is "twenty-six trillion, four hundred seventy-eight billion, two hundred forty-seven million, two hundred fifty-one thousand, four hundred fifty-six".