10617212557000 has 128 divisors (see below), whose sum is σ = 28395214848000. Its totient is φ = 3639962169600.

The previous prime is 10617212556997. The next prime is 10617212557027. The reversal of 10617212557000 is 75521271601.

It is a super-2 number, since 2×10617212557000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145486521 + ... + 145559479.

It is an arithmetic number, because the mean of its divisors is an integer number (221837616000).

Almost surely, 2^{10617212557000} is an apocalyptic number.

10617212557000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10617212557000 is an abundant number, since it is smaller than the sum of its proper divisors (17778002291000).

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

10617212557000 is a wasteful number, since it uses less digits than its factorization.

10617212557000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93776 (or 93762 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 37.

The spelling of 10617212557000 in words is "ten trillion, six hundred seventeen billion, two hundred twelve million, five hundred fifty-seven thousand".