651517888560 has 1440 divisors, whose sum is σ = 2855688224256. Its totient is φ = 121772851200.

The previous prime is 651517888547. The next prime is 651517888579. The reversal of 651517888560 is 65888715156.

It is a super-2 number, since 2×651517888560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 651517888494 and 651517888503.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 556376775 + ... + 556377945.

Almost surely, 2^651517888560 is an apocalyptic number.

651517888560 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 651517888560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427844112128).

651517888560 is an abundant number, since it is smaller than the sum of its proper divisors (2204170335696).

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

651517888560 is a wasteful number, since it uses less digits than its factorization.

651517888560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 60.

The spelling of 651517888560 in words is "six hundred fifty-one billion, five hundred seventeen million, eight hundred eighty-eight thousand, five hundred sixty".