155412157286400 has 2304 divisors, whose sum is σ = 647459959910400. Its totient is φ = 32064531333120.

The previous prime is 155412157286387. The next prime is 155412157286413. The reversal of 155412157286400 is 4682751214551.

It is an interprime number because it is at equal distance from previous prime (155412157286387) and next prime (155412157286413).

It is a super-2 number, since 2×155412157286400² (a number of 29 digits) contains 22 as substring.

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, 165861426732 + ... + 165861427668.

It is an arithmetic number, because the mean of its divisors is an integer number (281015607600).

Almost surely, 2^{155412157286400} is an apocalyptic number.

155412157286400 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 155412157286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323729979955200).

155412157286400 is an abundant number, since it is smaller than the sum of its proper divisors (492047802624000).

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

155412157286400 is a wasteful number, since it uses less digits than its factorization.

155412157286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 51.

The spelling of 155412157286400 in words is "one hundred fifty-five trillion, four hundred twelve billion, one hundred fifty-seven million, two hundred eighty-six thousand, four hundred".