61122058187904 has 1536 divisors, whose sum is σ = 217049252659200. Its totient is φ = 16142229504000.

The previous prime is 61122058187851. The next prime is 61122058187999. The reversal of 61122058187904 is 40978185022116.

61122058187904 is a `hidden beast` number, since 611 + 2 + 2 + 0 + 5 + 8 + 18 + 7 + 9 + 0 + 4 = 666.

It is a super-3 number, since 3×61122058187904³ (a number of 42 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149442684852 + ... + 149442685260.

It is an arithmetic number, because the mean of its divisors is an integer number (141308107200).

Almost surely, 2^{61122058187904} is an apocalyptic number.

61122058187904 is a gapful number since it is divisible by the number (64) 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 61122058187904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108524626329600).

61122058187904 is an abundant number, since it is smaller than the sum of its proper divisors (155927194471296).

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

61122058187904 is a wasteful number, since it uses less digits than its factorization.

61122058187904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 61122058187904 in words is "sixty-one trillion, one hundred twenty-two billion, fifty-eight million, one hundred eighty-seven thousand, nine hundred four".