10077504000 has 320 divisors, whose sum is σ = 34011394560. Its totient is φ = 2646835200.

The previous prime is 10077503983. The next prime is 10077504011. The reversal of 10077504000 is 40577001.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14015641 + ... + 14016359.

It is an arithmetic number, because the mean of its divisors is an integer number (106285608).

Almost surely, 2^10077504000 is an apocalyptic number.

10077504000 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 10077504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17005697280).

10077504000 is an abundant number, since it is smaller than the sum of its proper divisors (23933890560).

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

10077504000 is an frugal number, since it uses more digits than its factorization.

10077504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The spelling of 10077504000 in words is "ten billion, seventy-seven million, five hundred four thousand".