26121648137040 has 160 divisors (see below), whose sum is σ = 94710069417600. Its totient is φ = 6599153203200.

The previous prime is 26121648136963. The next prime is 26121648137149. The reversal of 26121648137040 is 4073184612162.

26121648137040 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 164 + 81 + 370 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 318205161 + ... + 318287240.

It is an arithmetic number, because the mean of its divisors is an integer number (591937933860).

Almost surely, 2^{26121648137040} is an apocalyptic number.

26121648137040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26121648137040 is an abundant number, since it is smaller than the sum of its proper divisors (68588421280560).

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

26121648137040 is a wasteful number, since it uses less digits than its factorization.

26121648137040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636492442 (or 636492430 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 26121648137040 in words is "twenty-six trillion, one hundred twenty-one billion, six hundred forty-eight million, one hundred thirty-seven thousand, forty".