61475936256000 has 2160 divisors, whose sum is σ = 267474633465312. Its totient is φ = 14046068736000.

The previous prime is 61475936255947. The next prime is 61475936256061. The reversal of 61475936256000 is 65263957416.

61475936256000 is a `hidden beast` number, since 6 + 1 + 4 + 7 + 5 + 9 + 3 + 6 + 25 + 600 + 0 = 666.

61475936256000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24385534740 + ... + 24385537260.

Almost surely, 2^{61475936256000} is an apocalyptic number.

61475936256000 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 61475936256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133737316732656).

61475936256000 is an abundant number, since it is smaller than the sum of its proper divisors (205998697209312).

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

61475936256000 is an frugal number, since it uses more digits than its factorization.

61475936256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 61475936256000 in words is "sixty-one trillion, four hundred seventy-five billion, nine hundred thirty-six million, two hundred fifty-six thousand".