155400242511591 has 384 divisors, whose sum is σ = 308704653803520. Its totient is φ = 72895334400000.

The previous prime is 155400242511583. The next prime is 155400242511593. The reversal of 155400242511591 is 195115242004551.

155400242511591 is a `hidden beast` number, since 1 + 5 + 5 + 4 + 0 + 0 + 2 + 4 + 2 + 51 + 1 + 591 = 666.

It is not a de Polignac number, because 155400242511591 - 2³ = 155400242511583 is a prime.

It is a super-2 number, since 2×155400242511591² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155400242511593) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7956584496 + ... + 7956604026.

It is an arithmetic number, because the mean of its divisors is an integer number (803918369280).

Almost surely, 2^{155400242511591} is an apocalyptic number.

155400242511591 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

155400242511591 is a deficient number, since it is larger than the sum of its proper divisors (153304411291929).

155400242511591 is a wasteful number, since it uses less digits than its factorization.

155400242511591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19899 (or 19896 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The spelling of 155400242511591 in words is "one hundred fifty-five trillion, four hundred billion, two hundred forty-two million, five hundred eleven thousand, five hundred ninety-one".