152206350010660 has 192 divisors, whose sum is σ = 358153919391744. Its totient is φ = 53853126220800.

The previous prime is 152206350010657. The next prime is 152206350010669. The reversal of 152206350010660 is 66010053602251.

It is a super-2 number, since 2×152206350010660² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152206350010669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5628295099 + ... + 5628322141.

It is an arithmetic number, because the mean of its divisors is an integer number (1865384996832).

Almost surely, 2^{152206350010660} is an apocalyptic number.

152206350010660 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 152206350010660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179076959695872).

152206350010660 is an abundant number, since it is smaller than the sum of its proper divisors (205947569381084).

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

152206350010660 is a wasteful number, since it uses less digits than its factorization.

152206350010660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28754 (or 28752 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 152206350010660 in words is "one hundred fifty-two trillion, two hundred six billion, three hundred fifty million, ten thousand, six hundred sixty".