61146827501760 has 4480 divisors, whose sum is σ = 311920221634560. Its totient is φ = 10948408934400.

The previous prime is 61146827501699. The next prime is 61146827501887. The reversal of 61146827501760 is 6710572864116.

61146827501760 is a `hidden beast` number, since 6 + 1 + 1 + 4 + 68 + 2 + 7 + 501 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 61146827501697 and 61146827501706.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 35001045207 + ... + 35001046953.

It is an arithmetic number, because the mean of its divisors is an integer number (69625049472).

Almost surely, 2^{61146827501760} is an apocalyptic number.

61146827501760 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 61146827501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155960110817280).

61146827501760 is an abundant number, since it is smaller than the sum of its proper divisors (250773394132800).

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

61146827501760 is a wasteful number, since it uses less digits than its factorization.

61146827501760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 61146827501760 in words is "sixty-one trillion, one hundred forty-six billion, eight hundred twenty-seven million, five hundred one thousand, seven hundred sixty".