152769668400 has 270 divisors, whose sum is σ = 549075595380. Its totient is φ = 39333020160.

The previous prime is 152769668333. The next prime is 152769668407. The reversal of 152769668400 is 4866967251.

It is not an unprimeable number, because it can be changed into a prime (152769668407) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3002371 + ... + 3052829.

Almost surely, 2^152769668400 is an apocalyptic number.

152769668400 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 152769668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274537797690).

152769668400 is an abundant number, since it is smaller than the sum of its proper divisors (396305926980).

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

152769668400 is a wasteful number, since it uses less digits than its factorization.

152769668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50541 (or 50498 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 152769668400 in words is "one hundred fifty-two billion, seven hundred sixty-nine million, six hundred sixty-eight thousand, four hundred".