11272498968240 has 120 divisors (see below), whose sum is σ = 38013891815328. Its totient is φ = 2993526650880.

The previous prime is 11272498968221. The next prime is 11272498968257. The reversal of 11272498968240 is 4286989427211.

11272498968240 is a `hidden beast` number, since 1 + 1 + 27 + 2 + 498 + 9 + 6 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32308324 + ... + 32655363.

Almost surely, 2^{11272498968240} is an apocalyptic number.

11272498968240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11272498968240 is an abundant number, since it is smaller than the sum of its proper divisors (26741392847088).

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

11272498968240 is a wasteful number, since it uses less digits than its factorization.

11272498968240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64963947 (or 64963938 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 11272498968240 in words is "eleven trillion, two hundred seventy-two billion, four hundred ninety-eight million, nine hundred sixty-eight thousand, two hundred forty".