26942552206920 has 2048 divisors, whose sum is σ = 111325446144000. Its totient is φ = 5738240102400.

The previous prime is 26942552206897. The next prime is 26942552206957. The reversal of 26942552206920 is 2960225524962.

It is a happy number.

26942552206920 is a `hidden beast` number, since 2 + 6 + 9 + 4 + 2 + 552 + 2 + 0 + 69 + 20 = 666.

It is a super-2 number, since 2×26942552206920² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 61372556061 + ... + 61372556499.

It is an arithmetic number, because the mean of its divisors is an integer number (54358128000).

Almost surely, 2^{26942552206920} is an apocalyptic number.

26942552206920 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 26942552206920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55662723072000).

26942552206920 is an abundant number, since it is smaller than the sum of its proper divisors (84382893937080).

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

26942552206920 is a wasteful number, since it uses less digits than its factorization.

26942552206920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 26942552206920 in words is "twenty-six trillion, nine hundred forty-two billion, five hundred fifty-two million, two hundred six thousand, nine hundred twenty".