10213251840 has 648 divisors, whose sum is σ = 41221462464. Its totient is φ = 2324889600.

The previous prime is 10213251833. The next prime is 10213251869. The reversal of 10213251840 is 4815231201.

10213251840 is a `hidden beast` number, since 10 + 2 + 132 + 518 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23696425 + ... + 23696855.

It is an arithmetic number, because the mean of its divisors is an integer number (63613368).

Almost surely, 2^10213251840 is an apocalyptic number.

10213251840 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 10213251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20610731232).

10213251840 is an abundant number, since it is smaller than the sum of its proper divisors (31008210624).

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

10213251840 is a wasteful number, since it uses less digits than its factorization.

10213251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

It can be divided in two parts, 1021325 and 1840, that added together give a triangular number (1023165 = T₁₄₃₀).

The spelling of 10213251840 in words is "ten billion, two hundred thirteen million, two hundred fifty-one thousand, eight hundred forty".