10514553452000 has 192 divisors, whose sum is σ = 27833214898944. Its totient is φ = 3880663142400.

The previous prime is 10514553451967. The next prime is 10514553452041. The reversal of 10514553452000 is 25435541501.

It is a super-2 number, since 2×10514553452000² (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 31 ways as a sum of consecutive naturals, for example, 127202684 + ... + 127285316.

It is an arithmetic number, because the mean of its divisors is an integer number (144964660932).

Almost surely, 2^{10514553452000} is an apocalyptic number.

10514553452000 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 10514553452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13916607449472).

10514553452000 is an abundant number, since it is smaller than the sum of its proper divisors (17318661446944).

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

10514553452000 is a wasteful number, since it uses less digits than its factorization.

10514553452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85118 (or 85100 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

Adding to 10514553452000 its reverse (25435541501), we get a palindrome (10539988993501).

The spelling of 10514553452000 in words is "ten trillion, five hundred fourteen billion, five hundred fifty-three million, four hundred fifty-two thousand".