153402461601060 has 384 divisors, whose sum is σ = 513543465566208. Its totient is φ = 33478608384000.

The previous prime is 153402461601017. The next prime is 153402461601083. The reversal of 153402461601060 is 60106164204351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 294812320 + ... + 295332200.

It is an arithmetic number, because the mean of its divisors is an integer number (1337352774912).

Almost surely, 2^{153402461601060} is an apocalyptic number.

153402461601060 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 153402461601060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256771732783104).

153402461601060 is an abundant number, since it is smaller than the sum of its proper divisors (360141003965148).

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

153402461601060 is a wasteful number, since it uses less digits than its factorization.

153402461601060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520235 (or 520233 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 153402461601060 in words is "one hundred fifty-three trillion, four hundred two billion, four hundred sixty-one million, six hundred one thousand, sixty".