659990546151552 has 1536 divisors, whose sum is σ = 2561668042752000. Its totient is φ = 157986953625600.

The previous prime is 659990546151511. The next prime is 659990546151557. The reversal of 659990546151552 is 255151645099956.

659990546151552 is a `hidden beast` number, since 6 + 5 + 9 + 9 + 9 + 0 + 5 + 4 + 61 + 5 + 1 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (659990546151557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14483300224 + ... + 14483345792.

It is an arithmetic number, because the mean of its divisors is an integer number (1667752632000).

Almost surely, 2^{659990546151552} is an apocalyptic number.

659990546151552 is a gapful number since it is divisible by the number (62) 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 659990546151552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280834021376000).

659990546151552 is an abundant number, since it is smaller than the sum of its proper divisors (1901677496600448).

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

659990546151552 is a wasteful number, since it uses less digits than its factorization.

659990546151552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45890 (or 45875 counting only the distinct ones).

The product of its (nonzero) digits is 656100000, while the sum is 72.

The spelling of 659990546151552 in words is "six hundred fifty-nine trillion, nine hundred ninety billion, five hundred forty-six million, one hundred fifty-one thousand, five hundred fifty-two".