172545408000 has 528 divisors, whose sum is σ = 710638878144. Its totient is φ = 39437107200.

The previous prime is 172545407953. The next prime is 172545408023. The reversal of 172545408000 is 804545271.

172545408000 is a `hidden beast` number, since 1 + 72 + 545 + 40 + 8 + 0 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8053302 + ... + 8074698.

Almost surely, 2^172545408000 is an apocalyptic number.

172545408000 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 172545408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355319439072).

172545408000 is an abundant number, since it is smaller than the sum of its proper divisors (538093470144).

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

172545408000 is a wasteful number, since it uses less digits than its factorization.

172545408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21445 (or 21414 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 172545408000 in words is "one hundred seventy-two billion, five hundred forty-five million, four hundred eight thousand".