152661411465420 has 768 divisors, whose sum is σ = 521974893533184. Its totient is φ = 32839188480000.

The previous prime is 152661411465419. The next prime is 152661411465427. The reversal of 152661411465420 is 24564114166251.

It is a super-2 number, since 2×152661411465420² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152661411465420.

It is not an unprimeable number, because it can be changed into a prime (152661411465427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15743154012 + ... + 15743163708.

It is an arithmetic number, because the mean of its divisors is an integer number (679654809288).

Almost surely, 2^{152661411465420} is an apocalyptic number.

152661411465420 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 152661411465420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260987446766592).

152661411465420 is an abundant number, since it is smaller than the sum of its proper divisors (369313482067764).

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

152661411465420 is a wasteful number, since it uses less digits than its factorization.

152661411465420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10362 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 152661411465420 in words is "one hundred fifty-two trillion, six hundred sixty-one billion, four hundred eleven million, four hundred sixty-five thousand, four hundred twenty".