254642172480 has 336 divisors, whose sum is σ = 897165023040. Its totient is φ = 66271924224.

The previous prime is 254642172467. The next prime is 254642172503. The reversal of 254642172480 is 84271246452.

254642172480 is a `hidden beast` number, since 2 + 546 + 4 + 2 + 1 + 7 + 24 + 80 = 666.

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 47 ways as a sum of consecutive naturals, for example, 21026587 + ... + 21038693.

Almost surely, 2^254642172480 is an apocalyptic number.

254642172480 is a gapful number since it is divisible by the number (20) 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 254642172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448582511520).

254642172480 is an abundant number, since it is smaller than the sum of its proper divisors (642522850560).

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

254642172480 is a wasteful number, since it uses less digits than its factorization.

254642172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12306 (or 12293 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 254642172480 in words is "two hundred fifty-four billion, six hundred forty-two million, one hundred seventy-two thousand, four hundred eighty".