61089425510400 has 3744 divisors, whose sum is σ = 279141652540800. Its totient is φ = 13183238799360.

The previous prime is 61089425510357. The next prime is 61089425510429. The reversal of 61089425510400 is 401552498016.

61089425510400 is a `hidden beast` number, since 6 + 1 + 0 + 8 + 94 + 2 + 5 + 510 + 40 + 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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 208496332654 + ... + 208496332946.

Almost surely, 2^{61089425510400} is an apocalyptic number.

61089425510400 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 61089425510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139570826270400).

61089425510400 is an abundant number, since it is smaller than the sum of its proper divisors (218052227030400).

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

61089425510400 is an equidigital number, since it uses as much as digits as its factorization.

61089425510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 61089425510400 in words is "sixty-one trillion, eighty-nine billion, four hundred twenty-five million, five hundred ten thousand, four hundred".