652123240560 has 240 divisors, whose sum is σ = 2398668225408. Its totient is φ = 157460160000.

The previous prime is 652123240553. The next prime is 652123240583. The reversal of 652123240560 is 65042321256.

652123240560 is a `hidden beast` number, since 6 + 5 + 21 + 2 + 32 + 40 + 560 = 666.

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

It is a super-2 number, since 2×652123240560² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1823899 + ... + 2151941.

Almost surely, 2^652123240560 is an apocalyptic number.

652123240560 is a gapful number since it is divisible by the number (60) 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 652123240560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199334112704).

652123240560 is an abundant number, since it is smaller than the sum of its proper divisors (1746544984848).

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

652123240560 is a wasteful number, since it uses less digits than its factorization.

652123240560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328324 (or 328315 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 652123240560 in words is "six hundred fifty-two billion, one hundred twenty-three million, two hundred forty thousand, five hundred sixty".