26515969920 has 512 divisors, whose sum is σ = 103109760000. Its totient is φ = 6386688000.

The previous prime is 26515969919. The next prime is 26515969927. The reversal of 26515969920 is 2996951562.

26515969920 is a `hidden beast` number, since 26 + 5 + 1 + 596 + 9 + 9 + 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 not an unprimeable number, because it can be changed into a prime (26515969927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37825570 + ... + 37826270.

It is an arithmetic number, because the mean of its divisors is an integer number (201386250).

Almost surely, 2^26515969920 is an apocalyptic number.

26515969920 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 26515969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51554880000).

26515969920 is an abundant number, since it is smaller than the sum of its proper divisors (76593790080).

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

26515969920 is a wasteful number, since it uses less digits than its factorization.

26515969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 26515969920 in words is "twenty-six billion, five hundred fifteen million, nine hundred sixty-nine thousand, nine hundred twenty".