61258212576 has 192 divisors, whose sum is σ = 195208876800. Its totient is φ = 18534873600.

The previous prime is 61258212557. The next prime is 61258212583. The reversal of 61258212576 is 67521285216.

61258212576 is a `hidden beast` number, since 6 + 1 + 2 + 58 + 21 + 2 + 576 = 666.

It is a congruent 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, 6733791 + ... + 6742881.

It is an arithmetic number, because the mean of its divisors is an integer number (1016712900).

Almost surely, 2^61258212576 is an apocalyptic number.

61258212576 is a gapful number since it is divisible by the number (66) 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 61258212576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97604438400).

61258212576 is an abundant number, since it is smaller than the sum of its proper divisors (133950664224).

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

61258212576 is a wasteful number, since it uses less digits than its factorization.

61258212576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9830 (or 9816 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 61258212576 in words is "sixty-one billion, two hundred fifty-eight million, two hundred twelve thousand, five hundred seventy-six".