11495024640 has 1152 divisors, whose sum is σ = 49674643200. Its totient is φ = 2422210560.

The previous prime is 11495024603. The next prime is 11495024687. The reversal of 11495024640 is 4642059411.

11495024640 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 5 + 0 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 11495024595 and 11495024604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 396380146 + ... + 396380174.

It is an arithmetic number, because the mean of its divisors is an integer number (43120350).

Almost surely, 2^11495024640 is an apocalyptic number.

11495024640 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 11495024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837321600).

11495024640 is an abundant number, since it is smaller than the sum of its proper divisors (38179618560).

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

11495024640 is a wasteful number, since it uses less digits than its factorization.

11495024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11495024640 in words is "eleven billion, four hundred ninety-five million, twenty-four thousand, six hundred forty".