251555145541120 has 40 divisors (see below), whose sum is σ = 603142766932464. Its totient is φ = 100622058215424.

The previous prime is 251555145541043. The next prime is 251555145541153. The reversal of 251555145541120 is 21145541555152.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×251555145541120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49131861804 + ... + 49131866923.

Almost surely, 2^{251555145541120} is an apocalyptic number.

251555145541120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251555145541120 is an abundant number, since it is smaller than the sum of its proper divisors (351587621391344).

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

251555145541120 is an frugal number, since it uses more digits than its factorization.

251555145541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98263728750 (or 98263728734 counting only the distinct ones).

The product of its (nonzero) digits is 1000000, while the sum is 46.

The spelling of 251555145541120 in words is "two hundred fifty-one trillion, five hundred fifty-five billion, one hundred forty-five million, five hundred forty-one thousand, one hundred twenty".