10551158774000 has 320 divisors, whose sum is σ = 28936055890560. Its totient is φ = 3688884633600.

The previous prime is 10551158773993. The next prime is 10551158774029. The reversal of 10551158774000 is 47785115501.

It is a super-2 number, since 2×10551158774000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1263153824 + ... + 1263162176.

It is an arithmetic number, because the mean of its divisors is an integer number (90425174658).

Almost surely, 2^{10551158774000} is an apocalyptic number.

10551158774000 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 10551158774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14468027945280).

10551158774000 is an abundant number, since it is smaller than the sum of its proper divisors (18384897116560).

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

10551158774000 is a wasteful number, since it uses less digits than its factorization.

10551158774000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10965 (or 10949 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 44.

The spelling of 10551158774000 in words is "ten trillion, five hundred fifty-one billion, one hundred fifty-eight million, seven hundred seventy-four thousand".