102461005728000 has 4320 divisors, whose sum is σ = 446313609181440. Its totient is φ = 23228566732800.

The previous prime is 102461005727939. The next prime is 102461005728007. The reversal of 102461005728000 is 827500164201.

102461005728000 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 6 + 1 + 0 + 0 + 572 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102461005728007) 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 479 ways as a sum of consecutive naturals, for example, 327351455844 + ... + 327351456156.

Almost surely, 2^{102461005728000} is an apocalyptic number.

102461005728000 is a gapful number since it is divisible by the number (10) 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 102461005728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223156804590720).

102461005728000 is an abundant number, since it is smaller than the sum of its proper divisors (343852603453440).

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

102461005728000 is a wasteful number, since it uses less digits than its factorization.

102461005728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 102461005728000 in words is "one hundred two trillion, four hundred sixty-one billion, five million, seven hundred twenty-eight thousand".