10519538135040 has 1664 divisors, whose sum is σ = 43046423101440. Its totient is φ = 2413382860800.

The previous prime is 10519538134991. The next prime is 10519538135053. The reversal of 10519538135040 is 4053183591501.

10519538135040 is a `hidden beast` number, since 1 + 0 + 5 + 19 + 53 + 81 + 3 + 504 + 0 = 666.

It is a super-2 number, since 2×10519538135040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8862289327 + ... + 8862290513.

Almost surely, 2^{10519538135040} is an apocalyptic number.

10519538135040 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 10519538135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21523211550720).

10519538135040 is an abundant number, since it is smaller than the sum of its proper divisors (32526884966400).

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

10519538135040 is a wasteful number, since it uses less digits than its factorization.

10519538135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 10519538135040 in words is "ten trillion, five hundred nineteen billion, five hundred thirty-eight million, one hundred thirty-five thousand, forty".