155297312311680 has 4608 divisors, whose sum is σ = 726107591139840. Its totient is φ = 31614105600000.

The previous prime is 155297312311651. The next prime is 155297312311703. The reversal of 155297312311680 is 86113213792551.

It is a happy number.

155297312311680 is a `hidden beast` number, since 1 + 5 + 5 + 2 + 9 + 7 + 312 + 311 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×155297312311680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 618714391555 + ... + 618714391805.

It is an arithmetic number, because the mean of its divisors is an integer number (157575432105).

Almost surely, 2^{155297312311680} is an apocalyptic number.

155297312311680 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 155297312311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363053795569920).

155297312311680 is an abundant number, since it is smaller than the sum of its proper divisors (570810278828160).

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

155297312311680 is an equidigital number, since it uses as much as digits as its factorization.

155297312311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 155297312311680 in words is "one hundred fifty-five trillion, two hundred ninety-seven billion, three hundred twelve million, three hundred eleven thousand, six hundred eighty".