10100587470720 has 2048 divisors, whose sum is σ = 39121429248000. Its totient is φ = 2197429420032.

The previous prime is 10100587470679. The next prime is 10100587470733. The reversal of 10100587470720 is 2707478500101.

It is a super-4 number, since 4×10100587470720⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28613562064 + ... + 28613562416.

It is an arithmetic number, because the mean of its divisors is an integer number (19102260375).

Almost surely, 2^{10100587470720} is an apocalyptic number.

10100587470720 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 10100587470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19560714624000).

10100587470720 is an abundant number, since it is smaller than the sum of its proper divisors (29020841777280).

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

10100587470720 is a wasteful number, since it uses less digits than its factorization.

10100587470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 42.

The spelling of 10100587470720 in words is "ten trillion, one hundred billion, five hundred eighty-seven million, four hundred seventy thousand, seven hundred twenty".