172987237621440 has 1344 divisors, whose sum is σ = 725782030272000. Its totient is φ = 38358819717120.

The previous prime is 172987237621427. The next prime is 172987237621441. The reversal of 172987237621440 is 44126732789271.

It is a happy number.

172987237621440 is a `hidden beast` number, since 1 + 7 + 2 + 9 + 8 + 7 + 2 + 376 + 214 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (172987237621441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1518587206 + ... + 1518701114.

Almost surely, 2^{172987237621440} is an apocalyptic number.

172987237621440 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 172987237621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362891015136000).

172987237621440 is an abundant number, since it is smaller than the sum of its proper divisors (552794792650560).

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

172987237621440 is a wasteful number, since it uses less digits than its factorization.

172987237621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114023 (or 113978 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 172987237621440 in words is "one hundred seventy-two trillion, nine hundred eighty-seven billion, two hundred thirty-seven million, six hundred twenty-one thousand, four hundred forty".