152664958772400 has 240 divisors, whose sum is σ = 490815936269568. Its totient is φ = 40562696064000.

The previous prime is 152664958772369. The next prime is 152664958772411. The reversal of 152664958772400 is 4277859466251.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 650099005 + ... + 650333795.

Almost surely, 2^{152664958772400} is an apocalyptic number.

152664958772400 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 152664958772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245407968134784).

152664958772400 is an abundant number, since it is smaller than the sum of its proper divisors (338150977497168).

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

152664958772400 is a wasteful number, since it uses less digits than its factorization.

152664958772400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236780 (or 236769 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 152664958772400 in words is "one hundred fifty-two trillion, six hundred sixty-four billion, nine hundred fifty-eight million, seven hundred seventy-two thousand, four hundred".