26349757920 has 192 divisors, whose sum is σ = 97649375040. Its totient is φ = 6613254144.

The previous prime is 26349757919. The next prime is 26349757957. The reversal of 26349757920 is 2975794362.

26349757920 is a `hidden beast` number, since 2 + 6 + 3 + 49 + 7 + 579 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105957 + ... + 252836.

It is an arithmetic number, because the mean of its divisors is an integer number (508590495).

Almost surely, 2^26349757920 is an apocalyptic number.

26349757920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26349757920 is an abundant number, since it is smaller than the sum of its proper divisors (71299617120).

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

26349757920 is a wasteful number, since it uses less digits than its factorization.

26349757920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358834 (or 358820 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 26349757920 in words is "twenty-six billion, three hundred forty-nine million, seven hundred fifty-seven thousand, nine hundred twenty".