10555151040 has 448 divisors, whose sum is σ = 42818304000. Its totient is φ = 2397745152.

The previous prime is 10555151027. The next prime is 10555151071. The reversal of 10555151040 is 4015155501.

10555151040 is a `hidden beast` number, since 1 + 0 + 5 + 551 + 5 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10555151040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10555150995 and 10555151013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12035082 + ... + 12035958.

Almost surely, 2^10555151040 is an apocalyptic number.

10555151040 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 10555151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21409152000).

10555151040 is an abundant number, since it is smaller than the sum of its proper divisors (32263152960).

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

10555151040 is a wasteful number, since it uses less digits than its factorization.

10555151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

The spelling of 10555151040 in words is "ten billion, five hundred fifty-five million, one hundred fifty-one thousand, forty".