10116696133632 has 208 divisors, whose sum is σ = 29494927078848. Its totient is φ = 3058567741440.

The previous prime is 10116696133603. The next prime is 10116696133637. The reversal of 10116696133632 is 23633169661101.

It is a super-2 number, since 2×10116696133632² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116696133637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58441318 + ... + 58614170.

Almost surely, 2^{10116696133632} is an apocalyptic number.

10116696133632 is a gapful number since it is divisible by the number (12) 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 10116696133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747463539424).

10116696133632 is an abundant number, since it is smaller than the sum of its proper divisors (19378230945216).

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

10116696133632 is a wasteful number, since it uses less digits than its factorization.

10116696133632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173324 (or 173302 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The spelling of 10116696133632 in words is "ten trillion, one hundred sixteen billion, six hundred ninety-six million, one hundred thirty-three thousand, six hundred thirty-two".