10627497649860 has 576 divisors, whose sum is σ = 39585403323648. Its totient is φ = 2104259641344.

The previous prime is 10627497649819. The next prime is 10627497649871. The reversal of 10627497649860 is 6894679472601.

It is a happy number.

It is a super-2 number, since 2×10627497649860² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 225436212 + ... + 225483348.

It is an arithmetic number, because the mean of its divisors is an integer number (68724658548).

Almost surely, 2^{10627497649860} is an apocalyptic number.

10627497649860 is a gapful number since it is divisible by the number (10) 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 10627497649860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19792701661824).

10627497649860 is an abundant number, since it is smaller than the sum of its proper divisors (28957905673788).

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

10627497649860 is a wasteful number, since it uses less digits than its factorization.

10627497649860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47540 (or 47531 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 69.

The spelling of 10627497649860 in words is "ten trillion, six hundred twenty-seven billion, four hundred ninety-seven million, six hundred forty-nine thousand, eight hundred sixty".