11551531253020 has 192 divisors, whose sum is σ = 27495959887872. Its totient is φ = 4038505632000.

The previous prime is 11551531252981. The next prime is 11551531253039. The reversal of 11551531253020 is 2035213515511.

It is a happy number.

It is a super-2 number, since 2×11551531253020² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1077261379 + ... + 1077272101.

It is an arithmetic number, because the mean of its divisors is an integer number (143208124416).

Almost surely, 2^{11551531253020} is an apocalyptic number.

11551531253020 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 11551531253020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13747979943936).

11551531253020 is an abundant number, since it is smaller than the sum of its proper divisors (15944428634852).

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

11551531253020 is a wasteful number, since it uses less digits than its factorization.

11551531253020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11792 (or 11790 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

Adding to 11551531253020 its reverse (2035213515511), we get a palindrome (13586744768531).

The spelling of 11551531253020 in words is "eleven trillion, five hundred fifty-one billion, five hundred thirty-one million, two hundred fifty-three thousand, twenty".