11254763520 has 1248 divisors, whose sum is σ = 53238092544. Its totient is φ = 2123366400.

The previous prime is 11254763473. The next prime is 11254763573. The reversal of 11254763520 is 2536745211.

11254763520 is a `hidden beast` number, since 1 + 1 + 2 + 547 + 63 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×11254763520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 184504290 + ... + 184504350.

It is an arithmetic number, because the mean of its divisors is an integer number (42658728).

Almost surely, 2^11254763520 is an apocalyptic number.

11254763520 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 11254763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26619046272).

11254763520 is an abundant number, since it is smaller than the sum of its proper divisors (41983329024).

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

11254763520 is a wasteful number, since it uses less digits than its factorization.

11254763520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 11254763520 in words is "eleven billion, two hundred fifty-four million, seven hundred sixty-three thousand, five hundred twenty".