10487262240 has 1152 divisors, whose sum is σ = 47683883520. Its totient is φ = 2131992576.

The previous prime is 10487262169. The next prime is 10487262319. The reversal of 10487262240 is 4226278401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10487262195 and 10487262204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101818029 + ... + 101818131.

It is an arithmetic number, because the mean of its divisors is an integer number (41392260).

Almost surely, 2^10487262240 is an apocalyptic number.

10487262240 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 10487262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23841941760).

10487262240 is an abundant number, since it is smaller than the sum of its proper divisors (37196621280).

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

10487262240 is a wasteful number, since it uses less digits than its factorization.

10487262240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 10487262240 in words is "ten billion, four hundred eighty-seven million, two hundred sixty-two thousand, two hundred forty".