10153500240 has 320 divisors, whose sum is σ = 36663653376. Its totient is φ = 2301689856.

The previous prime is 10153500229. The next prime is 10153500263. The reversal of 10153500240 is 4200535101.

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, 2490844 + ... + 2494916.

Almost surely, 2^10153500240 is an apocalyptic number.

10153500240 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 10153500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18331826688).

10153500240 is an abundant number, since it is smaller than the sum of its proper divisors (26510153136).

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

10153500240 is a wasteful number, since it uses less digits than its factorization.

10153500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The spelling of 10153500240 in words is "ten billion, one hundred fifty-three million, five hundred thousand, two hundred forty".