10357429272210 has 96 divisors (see below), whose sum is σ = 27340026478128. Its totient is φ = 2719972915200.

The previous prime is 10357429272187. The next prime is 10357429272247. The reversal of 10357429272210 is 1227292475301.

10357429272210 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 7 + 429 + 2 + 7 + 2 + 210 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1725626404161 + 8631802868049 = 1313631^2 + 2937993^2 .

It is a super-3 number, since 3×10357429272210³ (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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3083110 + ... + 5497310.

Almost surely, 2^{10357429272210} is an apocalyptic number.

10357429272210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10357429272210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13670013239064).

10357429272210 is an abundant number, since it is smaller than the sum of its proper divisors (16982597205918).

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

10357429272210 is a wasteful number, since it uses less digits than its factorization.

10357429272210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414940 (or 2414937 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10357429272210 in words is "ten trillion, three hundred fifty-seven billion, four hundred twenty-nine million, two hundred seventy-two thousand, two hundred ten".