251193248320 has 448 divisors, whose sum is σ = 736798648320. Its totient is φ = 79662071808.

The previous prime is 251193248291. The next prime is 251193248333. The reversal of 251193248320 is 23842391152.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390657919 + ... + 390658561.

It is an arithmetic number, because the mean of its divisors is an integer number (1644639840).

Almost surely, 2^251193248320 is an apocalyptic number.

251193248320 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 251193248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368399324160).

251193248320 is an abundant number, since it is smaller than the sum of its proper divisors (485605400000).

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

251193248320 is a wasteful number, since it uses less digits than its factorization.

251193248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 251193248320 in words is "two hundred fifty-one billion, one hundred ninety-three million, two hundred forty-eight thousand, three hundred twenty".