26957953920 has 512 divisors, whose sum is σ = 93909196800. Its totient is φ = 6555893760.

The previous prime is 26957953903. The next prime is 26957953933. The reversal of 26957953920 is 2935975962.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141141025 + ... + 141141215.

It is an arithmetic number, because the mean of its divisors is an integer number (183416400).

Almost surely, 2^26957953920 is an apocalyptic number.

26957953920 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 26957953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46954598400).

26957953920 is an abundant number, since it is smaller than the sum of its proper divisors (66951242880).

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

26957953920 is a wasteful number, since it uses less digits than its factorization.

26957953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 57.

The spelling of 26957953920 in words is "twenty-six billion, nine hundred fifty-seven million, nine hundred fifty-three thousand, nine hundred twenty".