10051435785072 has 240 divisors, whose sum is σ = 29899336320000. Its totient is φ = 2903629048320.

The previous prime is 10051435785067. The next prime is 10051435785103. The reversal of 10051435785072 is 27058753415001.

It is a super-2 number, since 2×10051435785072² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12928429 + ... + 13683827.

It is an arithmetic number, because the mean of its divisors is an integer number (124580568000).

Almost surely, 2^{10051435785072} is an apocalyptic number.

10051435785072 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 10051435785072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14949668160000).

10051435785072 is an abundant number, since it is smaller than the sum of its proper divisors (19847900534928).

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

10051435785072 is a wasteful number, since it uses less digits than its factorization.

10051435785072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755540 (or 755523 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 48.

The spelling of 10051435785072 in words is "ten trillion, fifty-one billion, four hundred thirty-five million, seven hundred eighty-five thousand, seventy-two".