61006695901440 has 288 divisors, whose sum is σ = 195809496422400. Its totient is φ = 16187714887680.

The previous prime is 61006695901351. The next prime is 61006695901511. The reversal of 61006695901440 is 4410959660016.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627211531 + ... + 627308789.

It is an arithmetic number, because the mean of its divisors is an integer number (679894084800).

Almost surely, 2^{61006695901440} is an apocalyptic number.

61006695901440 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 61006695901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97904748211200).

61006695901440 is an abundant number, since it is smaller than the sum of its proper divisors (134802800520960).

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

61006695901440 is a wasteful number, since it uses less digits than its factorization.

61006695901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98093 (or 98079 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 61006695901440 in words is "sixty-one trillion, six billion, six hundred ninety-five million, nine hundred one thousand, four hundred forty".