11901514240 has 320 divisors, whose sum is σ = 35885203200. Its totient is φ = 3677552640.

The previous prime is 11901514213. The next prime is 11901514271. The reversal of 11901514240 is 4241510911.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11901514199 and 11901514208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34101586 + ... + 34101934.

It is an arithmetic number, because the mean of its divisors is an integer number (112141260).

Almost surely, 2^11901514240 is an apocalyptic number.

11901514240 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 11901514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17942601600).

11901514240 is an abundant number, since it is smaller than the sum of its proper divisors (23983688960).

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

11901514240 is a wasteful number, since it uses less digits than its factorization.

11901514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 11901514240 in words is "eleven billion, nine hundred one million, five hundred fourteen thousand, two hundred forty".