172053380378880 has 10368 divisors, whose sum is σ = 907802299514880. Its totient is φ = 30433148928000.

The previous prime is 172053380378879. The next prime is 172053380378969. The reversal of 172053380378880 is 88873083350271.

172053380378880 is a `hidden beast` number, since 1 + 7 + 20 + 53 + 380 + 37 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 4001241404139 + ... + 4001241404181.

It is an arithmetic number, because the mean of its divisors is an integer number (87558092160).

Almost surely, 2^{172053380378880} is an apocalyptic number.

172053380378880 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 172053380378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453901149757440).

172053380378880 is an abundant number, since it is smaller than the sum of its proper divisors (735748919136000).

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

172053380378880 is a wasteful number, since it uses less digits than its factorization.

172053380378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 172053380378880 in words is "one hundred seventy-two trillion, fifty-three billion, three hundred eighty million, three hundred seventy-eight thousand, eight hundred eighty".