10657401216 has 576 divisors, whose sum is σ = 37611463680. Its totient is φ = 2661120000.

The previous prime is 10657401211. The next prime is 10657401217. The reversal of 10657401216 is 61210475601.

It is a super-2 number, since 2×10657401216² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10657401211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70578741 + ... + 70578891.

It is an arithmetic number, because the mean of its divisors is an integer number (65297680).

Almost surely, 2^10657401216 is an apocalyptic number.

10657401216 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 10657401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18805731840).

10657401216 is an abundant number, since it is smaller than the sum of its proper divisors (26954062464).

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

10657401216 is a wasteful number, since it uses less digits than its factorization.

10657401216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

Adding to 10657401216 its reverse (61210475601), we get a palindrome (71867876817).

The spelling of 10657401216 in words is "ten billion, six hundred fifty-seven million, four hundred one thousand, two hundred sixteen".