155705122010040 has 512 divisors, whose sum is σ = 518547205693440. Its totient is φ = 37202558976000.

The previous prime is 155705122010029. The next prime is 155705122010041. The reversal of 155705122010040 is 40010221507551.

It is a super-2 number, since 2×155705122010040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 155705122009983 and 155705122010010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155705122010041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26584446792 + ... + 26584452648.

It is an arithmetic number, because the mean of its divisors is an integer number (1012787511120).

Almost surely, 2^{155705122010040} is an apocalyptic number.

155705122010040 is a gapful number since it is divisible by the number (10) 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 155705122010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259273602846720).

155705122010040 is an abundant number, since it is smaller than the sum of its proper divisors (362842083683400).

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

155705122010040 is a wasteful number, since it uses less digits than its factorization.

155705122010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8503 (or 8499 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

Adding to 155705122010040 its reverse (40010221507551), we get a palindrome (195715343517591).

The spelling of 155705122010040 in words is "one hundred fifty-five trillion, seven hundred five billion, one hundred twenty-two million, ten thousand, forty".