11273526264 has 192 divisors, whose sum is σ = 38050179840. Its totient is φ = 2702868480.

The previous prime is 11273526259. The next prime is 11273526269. The reversal of 11273526264 is 46262537211.

It is an interprime number because it is at equal distance from previous prime (11273526259) and next prime (11273526269).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11273526269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294264 + ... + 330360.

It is an arithmetic number, because the mean of its divisors is an integer number (198178020).

Almost surely, 2^11273526264 is an apocalyptic number.

11273526264 is a gapful number since it is divisible by the number (14) 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 11273526264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19025089920).

11273526264 is an abundant number, since it is smaller than the sum of its proper divisors (26776653576).

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

11273526264 is a wasteful number, since it uses less digits than its factorization.

11273526264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36150 (or 36133 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The spelling of 11273526264 in words is "eleven billion, two hundred seventy-three million, five hundred twenty-six thousand, two hundred sixty-four".