152050953600 has 1536 divisors, whose sum is σ = 696105446400. Its totient is φ = 31558533120.

The previous prime is 152050953583. The next prime is 152050953623. The reversal of 152050953600 is 6359050251.

152050953600 is a `hidden beast` number, since 1 + 5 + 205 + 0 + 95 + 360 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 652579084 + ... + 652579316.

It is an arithmetic number, because the mean of its divisors is an integer number (453193650).

Almost surely, 2^152050953600 is an apocalyptic number.

152050953600 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 152050953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348052723200).

152050953600 is an abundant number, since it is smaller than the sum of its proper divisors (544054492800).

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

152050953600 is a wasteful number, since it uses less digits than its factorization.

152050953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 152050953600 in words is "one hundred fifty-two billion, fifty million, nine hundred fifty-three thousand, six hundred".