10251093720 has 256 divisors, whose sum is σ = 35831808000. Its totient is φ = 2297857536.

The previous prime is 10251093703. The next prime is 10251093817. The reversal of 10251093720 is 2739015201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 11878009 + ... + 11878871.

It is an arithmetic number, because the mean of its divisors is an integer number (139968000).

Almost surely, 2^10251093720 is an apocalyptic number.

10251093720 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 10251093720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17915904000).

10251093720 is an abundant number, since it is smaller than the sum of its proper divisors (25580714280).

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

10251093720 is a wasteful number, since it uses less digits than its factorization.

10251093720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 10251093720 in words is "ten billion, two hundred fifty-one million, ninety-three thousand, seven hundred twenty".