270007699111920 has 480 divisors, whose sum is σ = 1130567986589184. Its totient is φ = 56103399475200.

The previous prime is 270007699111901. The next prime is 270007699111939. The reversal of 270007699111920 is 29111996700072.

It is a Cunningham number, because it is equal to 16431911²-1.

It is an interprime number because it is at equal distance from previous prime (270007699111901) and next prime (270007699111939).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1807435630 + ... + 1807585010.

Almost surely, 2^{270007699111920} is an apocalyptic number.

270007699111920 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 270007699111920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565283993294592).

270007699111920 is an abundant number, since it is smaller than the sum of its proper divisors (860560287477264).

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

270007699111920 is a wasteful number, since it uses less digits than its factorization.

270007699111920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182021 (or 182012 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 54.

The spelling of 270007699111920 in words is "two hundred seventy trillion, seven billion, six hundred ninety-nine million, one hundred eleven thousand, nine hundred twenty".