10549178640 has 1920 divisors, whose sum is σ = 53861552640. Its totient is φ = 1857945600.

The previous prime is 10549178621. The next prime is 10549178687. The reversal of 10549178640 is 4687194501.

10549178640 is a `hidden beast` number, since 10 + 549 + 17 + 86 + 4 + 0 = 666.

It is a super-2 number, since 2×10549178640² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 257297020 + ... + 257297060.

It is an arithmetic number, because the mean of its divisors is an integer number (28052892).

Almost surely, 2^10549178640 is an apocalyptic number.

10549178640 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 10549178640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26930776320).

10549178640 is an abundant number, since it is smaller than the sum of its proper divisors (43312374000).

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

10549178640 is a wasteful number, since it uses less digits than its factorization.

10549178640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10549178640 in words is "ten billion, five hundred forty-nine million, one hundred seventy-eight thousand, six hundred forty".