11485157040 has 180 divisors, whose sum is σ = 44868427344. Its totient is φ = 2625170688.

The previous prime is 11485157029. The next prime is 11485157053. The reversal of 11485157040 is 4075158411.

11485157040 is a `hidden beast` number, since 1 + 1 + 4 + 85 + 1 + 570 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×11485157040³ (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11485156986 and 11485157004.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127492 + ... + 198051.

Almost surely, 2^11485157040 is an apocalyptic number.

11485157040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11485157040 is an abundant number, since it is smaller than the sum of its proper divisors (33383270304).

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

11485157040 is a wasteful number, since it uses less digits than its factorization.

11485157040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325576 (or 325560 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 11485157040 in words is "eleven billion, four hundred eighty-five million, one hundred fifty-seven thousand, forty".