155105066285400 has 768 divisors, whose sum is σ = 600718237286400. Its totient is φ = 32162658048000.

The previous prime is 155105066285383. The next prime is 155105066285413. The reversal of 155105066285400 is 4582660501551.

It is a self number, because there is not a number n which added to its sum of digits gives 155105066285400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82546601661 + ... + 82546603539.

It is an arithmetic number, because the mean of its divisors is an integer number (782185204800).

Almost surely, 2^{155105066285400} is an apocalyptic number.

155105066285400 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 155105066285400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300359118643200).

155105066285400 is an abundant number, since it is smaller than the sum of its proper divisors (445613171001000).

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

155105066285400 is a wasteful number, since it uses less digits than its factorization.

155105066285400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 48.

The spelling of 155105066285400 in words is "one hundred fifty-five trillion, one hundred five billion, sixty-six million, two hundred eighty-five thousand, four hundred".