61097766912 has 624 divisors, whose sum is σ = 224483201280. Its totient is φ = 16079192064.

The previous prime is 61097766901. The next prime is 61097766967. The reversal of 61097766912 is 21966779016.

61097766912 is a `hidden beast` number, since 610 + 9 + 7 + 7 + 6 + 6 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 130830103 + ... + 130830569.

It is an arithmetic number, because the mean of its divisors is an integer number (359748720).

Almost surely, 2^61097766912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61097766912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112241600640).

61097766912 is an abundant number, since it is smaller than the sum of its proper divisors (163385434368).

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

61097766912 is a wasteful number, since it uses less digits than its factorization.

61097766912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 61097766912 in words is "sixty-one billion, ninety-seven million, seven hundred sixty-six thousand, nine hundred twelve".