10551697135616 has 384 divisors, whose sum is σ = 26438533954560. Its totient is φ = 4099126984704.

The previous prime is 10551697135601. The next prime is 10551697135619. The reversal of 10551697135616 is 61653179615501.

It is a happy number.

It is a super-3 number, since 3×10551697135616³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10551697135619) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2676056141 + ... + 2676060083.

It is an arithmetic number, because the mean of its divisors is an integer number (68850348840).

Almost surely, 2^{10551697135616} is an apocalyptic number.

10551697135616 is a gapful number since it is divisible by the number (16) 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 10551697135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219266977280).

10551697135616 is an abundant number, since it is smaller than the sum of its proper divisors (15886836818944).

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

10551697135616 is a wasteful number, since it uses less digits than its factorization.

10551697135616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 56.

The spelling of 10551697135616 in words is "ten trillion, five hundred fifty-one billion, six hundred ninety-seven million, one hundred thirty-five thousand, six hundred sixteen".