10629610000 has 75 divisors (see below), whose sum is σ = 25760334523. Its totient is φ = 4247720000.

The previous prime is 10629609997. The next prime is 10629610001. The reversal of 10629610000 is 1692601.

The square root of 10629610000 is 103100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 833361424 + 9796248576 = 28868^2 + 98976^2 .

It is a super-2 number, since 2×10629610000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10629610001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10309485 + ... + 10310515.

Almost surely, 2^10629610000 is an apocalyptic number.

10629610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10629610000 is the 103100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10629610000

10629610000 is an abundant number, since it is smaller than the sum of its proper divisors (15130724523).

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

10629610000 is an frugal number, since it uses more digits than its factorization.

10629610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

Multiplying 10629610000 by its sum of digits (25), we get a square (265740250000 = 515500²).

10629610000 divided by its sum of digits (25) gives a square (425184400 = 20620²).

The spelling of 10629610000 in words is "ten billion, six hundred twenty-nine million, six hundred ten thousand".