11542454721600 has 672 divisors, whose sum is σ = 44166612013056. Its totient is φ = 2607983001600.

The previous prime is 11542454721599. The next prime is 11542454721601. The reversal of 11542454721600 is 612745424511.

It is an interprime number because it is at equal distance from previous prime (11542454721599) and next prime (11542454721601).

It is a super-2 number, since 2×11542454721600² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11542454721601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92390377 + ... + 92515223.

Almost surely, 2^{11542454721600} is an apocalyptic number.

11542454721600 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 11542454721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22083306006528).

11542454721600 is an abundant number, since it is smaller than the sum of its proper divisors (32624157291456).

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

11542454721600 is a wasteful number, since it uses less digits than its factorization.

11542454721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125003 (or 124988 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 11542454721600 in words is "eleven trillion, five hundred forty-two billion, four hundred fifty-four million, seven hundred twenty-one thousand, six hundred".