155412434061600 has 288 divisors, whose sum is σ = 524714245513920. Its totient is φ = 39906952458240.

The previous prime is 155412434061587. The next prime is 155412434061601. The reversal of 155412434061600 is 6160434214551.

It is not an unprimeable number, because it can be changed into a prime (155412434061601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22967587 + ... + 28954013.

It is an arithmetic number, because the mean of its divisors is an integer number (1821924463590).

Almost surely, 2^{155412434061600} is an apocalyptic number.

155412434061600 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 155412434061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262357122756960).

155412434061600 is an abundant number, since it is smaller than the sum of its proper divisors (369301811452320).

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

155412434061600 is a wasteful number, since it uses less digits than its factorization.

155412434061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986852 (or 5986839 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 155412434061600 in words is "one hundred fifty-five trillion, four hundred twelve billion, four hundred thirty-four million, sixty-one thousand, six hundred".