10073973888 has 320 divisors, whose sum is σ = 34434180000. Its totient is φ = 2891427840.

The previous prime is 10073973881. The next prime is 10073973953. The reversal of 10073973888 is 88837937001.

10073973888 is a `hidden beast` number, since 100 + 73 + 97 + 388 + 8 = 666.

It is a super-2 number, since 2×10073973888² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10073973881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2164588 + ... + 2169236.

Almost surely, 2^10073973888 is an apocalyptic number.

10073973888 is a gapful number since it is divisible by the number (18) 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 10073973888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17217090000).

10073973888 is an abundant number, since it is smaller than the sum of its proper divisors (24360206112).

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

10073973888 is a wasteful number, since it uses less digits than its factorization.

10073973888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 10073973888 in words is "ten billion, seventy-three million, nine hundred seventy-three thousand, eight hundred eighty-eight".