10077291432 has 256 divisors, whose sum is σ = 31860864000. Its totient is φ = 2928973824.

The previous prime is 10077291409. The next prime is 10077291437. The reversal of 10077291432 is 23419277001.

It is a super-2 number, since 2×10077291432² (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 not an unprimeable number, because it can be changed into a prime (10077291437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3825988 + ... + 3828620.

It is an arithmetic number, because the mean of its divisors is an integer number (124456500).

Almost surely, 2^10077291432 is an apocalyptic number.

10077291432 is a gapful number since it is divisible by the number (12) 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 10077291432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15930432000).

10077291432 is an abundant number, since it is smaller than the sum of its proper divisors (21783572568).

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

10077291432 is a wasteful number, since it uses less digits than its factorization.

10077291432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10077291432 in words is "ten billion, seventy-seven million, two hundred ninety-one thousand, four hundred thirty-two".