61051451106240 has 504 divisors, whose sum is σ = 247368034031040. Its totient is φ = 13777974153216.

The previous prime is 61051451106223. The next prime is 61051451106343. The reversal of 61051451106240 is 4260115415016.

61051451106240 is a `hidden beast` number, since 6 + 1 + 0 + 5 + 14 + 5 + 1 + 10 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×61051451106240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61051451106195 and 61051451106204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8410374 + ... + 13886586.

Almost surely, 2^{61051451106240} is an apocalyptic number.

61051451106240 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 61051451106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123684017015520).

61051451106240 is an abundant number, since it is smaller than the sum of its proper divisors (186316582924800).

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

61051451106240 is a wasteful number, since it uses less digits than its factorization.

61051451106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5476329 (or 5476309 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 61051451106240 in words is "sixty-one trillion, fifty-one billion, four hundred fifty-one million, one hundred six thousand, two hundred forty".