10480155840 has 1120 divisors, whose sum is σ = 47797516800. Its totient is φ = 2116730880.

The previous prime is 10480155823. The next prime is 10480155857. The reversal of 10480155840 is 4855108401.

It is an interprime number because it is at equal distance from previous prime (10480155823) and next prime (10480155857).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×10480155840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10480155795 and 10480155804.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117754516 + ... + 117754604.

Almost surely, 2^10480155840 is an apocalyptic number.

10480155840 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 10480155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23898758400).

10480155840 is an abundant number, since it is smaller than the sum of its proper divisors (37317360960).

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

10480155840 is a wasteful number, since it uses less digits than its factorization.

10480155840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 10480155840 in words is "ten billion, four hundred eighty million, one hundred fifty-five thousand, eight hundred forty".