254331152542320 has 80 divisors (see below), whose sum is σ = 901058940441600. Its totient is φ = 58132834866432.

The previous prime is 254331152542307. The next prime is 254331152542321. The reversal of 254331152542320 is 23245251133452.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254331152542321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75693793720 + ... + 75693797079.

It is an arithmetic number, because the mean of its divisors is an integer number (11263236755520).

Almost surely, 2^{254331152542320} is an apocalyptic number.

254331152542320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254331152542320 is an abundant number, since it is smaller than the sum of its proper divisors (646727787899280).

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

254331152542320 is a wasteful number, since it uses less digits than its factorization.

254331152542320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151387590822 (or 151387590816 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 254331152542320 in words is "two hundred fifty-four trillion, three hundred thirty-one billion, one hundred fifty-two million, five hundred forty-two thousand, three hundred twenty".