61731533525400 has 288 divisors, whose sum is σ = 208435413186000. Its totient is φ = 16372836480000.

The previous prime is 61731533525351. The next prime is 61731533525401. The reversal of 61731533525400 is 452533513716.

61731533525400 is a `hidden beast` number, since 6 + 1 + 7 + 3 + 1 + 53 + 3 + 52 + 540 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61731533525401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1152777826 + ... + 1152831374.

Almost surely, 2^{61731533525400} is an apocalyptic number.

61731533525400 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 61731533525400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104217706593000).

61731533525400 is an abundant number, since it is smaller than the sum of its proper divisors (146703879660600).

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

61731533525400 is a wasteful number, since it uses less digits than its factorization.

61731533525400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57019 (or 57007 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 61731533525400 in words is "sixty-one trillion, seven hundred thirty-one billion, five hundred thirty-three million, five hundred twenty-five thousand, four hundred".