61517352960 has 832 divisors, whose sum is σ = 261189365760. Its totient is φ = 13430292480.

The previous prime is 61517352959. The next prime is 61517352989. The reversal of 61517352960 is 6925371516.

61517352960 is a `hidden beast` number, since 6 + 1 + 51 + 73 + 529 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89026215 + ... + 89026905.

Almost surely, 2^61517352960 is an apocalyptic number.

61517352960 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 61517352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130594682880).

61517352960 is an abundant number, since it is smaller than the sum of its proper divisors (199672012800).

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

61517352960 is a wasteful number, since it uses less digits than its factorization.

61517352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 61517352960 in words is "sixty-one billion, five hundred seventeen million, three hundred fifty-two thousand, nine hundred sixty".