61534072477200 has 120 divisors (see below), whose sum is σ = 197846912880000. Its totient is φ = 16348085588480.

The previous prime is 61534072477193. The next prime is 61534072477301. The reversal of 61534072477200 is 277427043516.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×61534072477200³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 61534072477200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94990200 + ... + 95635799.

It is an arithmetic number, because the mean of its divisors is an integer number (1648724274000).

Almost surely, 2^{61534072477200} is an apocalyptic number.

61534072477200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61534072477200 is an abundant number, since it is smaller than the sum of its proper divisors (136312840402800).

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

61534072477200 is a wasteful number, since it uses less digits than its factorization.

61534072477200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190626289 (or 190626278 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The spelling of 61534072477200 in words is "sixty-one trillion, five hundred thirty-four billion, seventy-two million, four hundred seventy-seven thousand, two hundred".