11025464264640 has 448 divisors, whose sum is σ = 44646040857600. Its totient is φ = 2509098135552.

The previous prime is 11025464264597. The next prime is 11025464264669. The reversal of 11025464264640 is 4646246452011.

11025464264640 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 546 + 4 + 2 + 64 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 13451887 + ... + 14247953.

It is an arithmetic number, because the mean of its divisors is an integer number (99656341200).

Almost surely, 2^{11025464264640} is an apocalyptic number.

11025464264640 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 11025464264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22323020428800).

11025464264640 is an abundant number, since it is smaller than the sum of its proper divisors (33620576592960).

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

11025464264640 is a wasteful number, since it uses less digits than its factorization.

11025464264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796329 (or 796313 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 11025464264640 in words is "eleven trillion, twenty-five billion, four hundred sixty-four million, two hundred sixty-four thousand, six hundred forty".