61147586306400 has 576 divisors, whose sum is σ = 218034764381952. Its totient is φ = 14761984000000.

The previous prime is 61147586306383. The next prime is 61147586306407. The reversal of 61147586306400 is 460368574116.

It is a super-2 number, since 2×61147586306400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61147586306407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6785877895 + ... + 6785886905.

It is an arithmetic number, because the mean of its divisors is an integer number (378532577052).

Almost surely, 2^{61147586306400} is an apocalyptic number.

61147586306400 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 61147586306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109017382190976).

61147586306400 is an abundant number, since it is smaller than the sum of its proper divisors (156887178075552).

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

61147586306400 is a wasteful number, since it uses less digits than its factorization.

61147586306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10087 (or 10074 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 61147586306400 in words is "sixty-one trillion, one hundred forty-seven billion, five hundred eighty-six million, three hundred six thousand, four hundred".