11675040510 has 256 divisors, whose sum is σ = 34159656960. Its totient is φ = 2497582080.

The previous prime is 11675040497. The next prime is 11675040563. The reversal of 11675040510 is 1504057611.

It is a super-3 number, since 3×11675040510³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 50107354 + ... + 50107586.

It is an arithmetic number, because the mean of its divisors is an integer number (133436160).

Almost surely, 2^11675040510 is an apocalyptic number.

11675040510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11675040510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17079828480).

11675040510 is an abundant number, since it is smaller than the sum of its proper divisors (22484616450).

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

11675040510 is a wasteful number, since it uses less digits than its factorization.

11675040510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503.

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 11675040510 in words is "eleven billion, six hundred seventy-five million, forty thousand, five hundred ten".