10145607672420 has 144 divisors (see below), whose sum is σ = 35339724463680. Its totient is φ = 2330091705600.

The previous prime is 10145607672377. The next prime is 10145607672451. The reversal of 10145607672420 is 2427670654101.

10145607672420 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 560 + 7 + 67 + 2 + 4 + 20 = 666.

It is a super-3 number, since 3×10145607672420³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134805651 + ... + 134880890.

It is an arithmetic number, because the mean of its divisors is an integer number (245414753220).

Almost surely, 2^{10145607672420} is an apocalyptic number.

10145607672420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145607672420 is an abundant number, since it is smaller than the sum of its proper divisors (25194116791260).

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

10145607672420 is a wasteful number, since it uses less digits than its factorization.

10145607672420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269686586 (or 269686581 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 10145607672420 in words is "ten trillion, one hundred forty-five billion, six hundred seven million, six hundred seventy-two thousand, four hundred twenty".