32049198720000 has 6600 divisors, whose sum is σ = 160895509555968. Its totient is φ = 6270566400000.

The previous prime is 32049198719953. The next prime is 32049198720017. The reversal of 32049198720000 is 2789194023.

32049198720000 is a `hidden beast` number, since 3 + 2 + 0 + 491 + 98 + 72 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6600).

It is a super-2 number, since 2×32049198720000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 866194559982 + ... + 866194560018.

Almost surely, 2^{32049198720000} is an apocalyptic number.

32049198720000 is a gapful number since it is divisible by the number (30) 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 32049198720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80447754777984).

32049198720000 is an abundant number, since it is smaller than the sum of its proper divisors (128846310835968).

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

32049198720000 is a wasteful number, since it uses less digits than its factorization.

32049198720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 32049198720000 in words is "thirty-two trillion, forty-nine billion, one hundred ninety-eight million, seven hundred twenty thousand".