11270007840 has 1152 divisors, whose sum is σ = 48649144320. Its totient is φ = 2167603200.

The previous prime is 11270007823. The next prime is 11270007877. The reversal of 11270007840 is 4870007211.

It is a super-2 number, since 2×11270007840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11270007798 and 11270007807.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 274878220 + ... + 274878260.

It is an arithmetic number, because the mean of its divisors is an integer number (42230160).

Almost surely, 2^11270007840 is an apocalyptic number.

11270007840 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 11270007840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24324572160).

11270007840 is an abundant number, since it is smaller than the sum of its proper divisors (37379136480).

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

11270007840 is a wasteful number, since it uses less digits than its factorization.

11270007840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The spelling of 11270007840 in words is "eleven billion, two hundred seventy million, seven thousand, eight hundred forty".