61092114072840 has 384 divisors, whose sum is σ = 201586454784000. Its totient is φ = 16044124667904.

The previous prime is 61092114072827. The next prime is 61092114072841. The reversal of 61092114072840 is 4827041129016.

61092114072840 is a `hidden beast` number, since 6 + 1 + 0 + 9 + 211 + 407 + 28 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61092114072841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4830555397 + ... + 4830568043.

It is an arithmetic number, because the mean of its divisors is an integer number (524964726000).

Almost surely, 2^{61092114072840} is an apocalyptic number.

61092114072840 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 61092114072840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100793227392000).

61092114072840 is an abundant number, since it is smaller than the sum of its proper divisors (140494340711160).

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

61092114072840 is a wasteful number, since it uses less digits than its factorization.

61092114072840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13509 (or 13502 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 61092114072840 in words is "sixty-one trillion, ninety-two billion, one hundred fourteen million, seventy-two thousand, eight hundred forty".