5511150400 has 84 divisors (see below), whose sum is σ = 15498173728. Its totient is φ = 1889533440.

The previous prime is 5511150367. The next prime is 5511150409. The reversal of 5511150400 is 40511155.

It is a happy number.

It is a super-3 number, since 3×5511150400³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5511150409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234834 + ... + 257233.

Almost surely, 2^5511150400 is an apocalyptic number.

5511150400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5511150400 is an abundant number, since it is smaller than the sum of its proper divisors (9987023328).

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

5511150400 is a wasteful number, since it uses less digits than its factorization.

5511150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492096 (or 492081 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The square root of 5511150400 is about 74237.1227890737. The cubic root of 5511150400 is about 1766.3662350566.

Adding to 5511150400 its reverse (40511155), we get a palindrome (5551661555).

The spelling of 5511150400 in words is "five billion, five hundred eleven million, one hundred fifty thousand, four hundred".