10687432991040 has 896 divisors, whose sum is σ = 41737886023680. Its totient is φ = 2557791903744.

The previous prime is 10687432991033. The next prime is 10687432991069. The reversal of 10687432991040 is 4019923478601.

10687432991040 is a `hidden beast` number, since 1 + 0 + 6 + 87 + 432 + 9 + 91 + 0 + 40 = 666.

It is a super-2 number, since 2×10687432991040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1077031519 + ... + 1077041441.

It is an arithmetic number, because the mean of its divisors is an integer number (46582462080).

Almost surely, 2^{10687432991040} is an apocalyptic number.

10687432991040 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 10687432991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20868943011840).

10687432991040 is an abundant number, since it is smaller than the sum of its proper divisors (31050453032640).

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

10687432991040 is a wasteful number, since it uses less digits than its factorization.

10687432991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10228 (or 10212 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10687432991040 in words is "ten trillion, six hundred eighty-seven billion, four hundred thirty-two million, nine hundred ninety-one thousand, forty".