11295872640 has 384 divisors, whose sum is σ = 42712422480. Its totient is φ = 2733834240.

The previous prime is 11295872639. The next prime is 11295872657. The reversal of 11295872640 is 4627859211.

11295872640 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 587 + 2 + 64 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1294272576 + 10001600064 = 35976^2 + 100008^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4566444 + ... + 4568916.

Almost surely, 2^11295872640 is an apocalyptic number.

11295872640 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 11295872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21356211240).

11295872640 is an abundant number, since it is smaller than the sum of its proper divisors (31416549840).

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

11295872640 is a wasteful number, since it uses less digits than its factorization.

11295872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11295872640 in words is "eleven billion, two hundred ninety-five million, eight hundred seventy-two thousand, six hundred forty".