132010505049600 has 1440 divisors, whose sum is σ = 517979520938880. Its totient is φ = 33203425443840.

The previous prime is 132010505049547. The next prime is 132010505049617. The reversal of 132010505049600 is 6940505010231.

132010505049600 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 0 + 5 + 0 + 5 + 0 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13769736007 + ... + 13769745593.

It is an arithmetic number, because the mean of its divisors is an integer number (359708000652).

Almost surely, 2^{132010505049600} is an apocalyptic number.

132010505049600 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 132010505049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258989760469440).

132010505049600 is an abundant number, since it is smaller than the sum of its proper divisors (385969015889280).

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

132010505049600 is an equidigital number, since it uses as much as digits as its factorization.

132010505049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9882 (or 9849 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 132010505049600 in words is "one hundred thirty-two trillion, ten billion, five hundred five million, forty-nine thousand, six hundred".