10618477873920 has 1728 divisors, whose sum is σ = 46161303552000. Its totient is φ = 2246070435840.

The previous prime is 10618477873853. The next prime is 10618477873931. The reversal of 10618477873920 is 2937877481601.

10618477873920 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 8 + 477 + 8 + 73 + 92 + 0 = 666.

It is a super-2 number, since 2×10618477873920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2817317796 + ... + 2817321564.

Almost surely, 2^{10618477873920} is an apocalyptic number.

10618477873920 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 10618477873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23080651776000).

10618477873920 is an abundant number, since it is smaller than the sum of its proper divisors (35542825678080).

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

10618477873920 is a wasteful number, since it uses less digits than its factorization.

10618477873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 10618477873920 in words is "ten trillion, six hundred eighteen billion, four hundred seventy-seven million, eight hundred seventy-three thousand, nine hundred twenty".